Select all of the following that you included in your answer. The answer is not correct. The student did not use the quotient of powers property correctly. The student divided the exponents within the parentheses instead of subtracting. The correct simplified form is x to the two-fifths power. <3 Learn with flashcards, games, and more — for free.Select all of the expressions that are equal to the product of 10x^9 and (60x^-6)^-1. Assume x ≠ 0. A: 10x^9/60x^-6. C: x^15/6. Javier simplified the expression below. Find and describe the three mistakes he made. 1) Javier did not raise the coefficients to the third power. 2) when Javier raised x to the third power, he wrote that (x^1)^3=x^4 ...Polynomials functions may or may not be even or odd. As soon as you shift a graph left/right or up/down, you may lose any y-axis or origin symmetry that may have existed. For example: y=x^2 has y-axis symmetry and is an even function. y= (x+1)^2 no longer has y-axis symmetry and is no longer an even function.1) Rewrite the equation by factoring -8 from the radicand and taking the cube root to get -2 in front of the radical symbol. 2) The graph is reflected over the x-axis. 3) The graph is also reflected over the y-axis. 4) The graph is vertically stretched by a factor of 2. 5) The graph is translated ½ unit to the left.Step 1: Enter the inequality below which you want to simplify. The inequality calculator simplifies the given inequality. You will get the final answer in inequality form and interval notation. Step 2: Click the blue arrow to submit. Choose "Simplify" from the topic selector and click to see the result in our Algebra Calculator! Examples. SimplifySimplify the right side. Tap for more steps... Step 3.3.1. Divide by . Step 4. Add to both sides of the equation. Step 5. Divide each term in by and simplify. Tap for ...Finding composite functions. Through a worked example involving f (x)=√ (x²-1) and g (x)=x/ (1+x), learn about function composition: the process of combining two functions to create a new function. This involves replacing the input of one function with the output of another function.Simplify the expression using logarithmic and exponential properties. The property e ln x = x e^{\ln x} = x e l n x = x can be used to simplify the numerator. Also, since ln e = 1 \ln e = 1 ln e = 1 (because e is the base of the natural logarithm), this can be used to simplify the denominatorTo convert a file from the JPG format to the DST format, download a program or application that performs the conversion. Then, open the JPG file inside the software and save it in ...What is the pH of a solution in which the hydrogen ion concentration is 5.1 x 10-5 M? Group of answer choices 5.10 4.29 7.28 8.90 Hypothetical metal M has a molecular weight 174 g/mol and crystallizes in a body-centered cubic array of atoms in which the length of the unit cell'sResearchers say it's analogous to shouting across a rowdy bar. It’s a real sea of noise in the oceans these days. On top of the normal sounds of singing cetaceans, cracking shrimp,...Given mc001-1.jpg and mc001-2.jpg, mc001-3.jpg The range of es002-1.jpg is 2^x+1 - y>0 Given f(x) = log x and g(x) = -x + 1, which is the graph of mc001-1.jpg The domain … Select the expression that is equivalent to: 3 sqrt 1089 Simplify completely: a and 99. Simplify: c and b. Simplify: b and b. Simplify: a and b. Simplify completely. b. X 2a-12 * X 2a+13 = X 4a+1. Now that the left side is simplified we can rewrite the equation. X 4a+1 = X 9a-7. Now that we have both sides simplified, we can see that we just need to make the exponents equal to each other. 4a+1 = 9a-7. Next, we need to algebraically solve for a. First add 7 to both sides. 4a+8 = 9a. Next, subtract 4a from both ...Use substitution to replace h2 in the equation below and then simplify. c^2=h^2+b^2-2bx+x^2. loading. See answer. loading. plus. Add answer +5 pts. loading. Ask AI. more. Log in to add comment. Advertisement. lmrrege is waiting for your help. Add your answer and earn points. plus. Add answer +5 pts. verified. Expert-Verified Answer.Simplify i^15. Step 1. Rewrite as . Tap for more steps... Step 1.1. Factor out . Step 1.2. Rewrite as . Step 1.3. Factor out . Step 2. Rewrite as . Tap for more steps... Step 2.1. Rewrite as . Step 2.2. Rewrite as . Step 2.3. Raise to the power of . Step 3. One to any power is one. Step 4. Multiply by . Step 5.5. Compare and contrast the absolute value of a real number to that of a complex number. imaginary number complex plane real number negative always positive. We have an …Question: Simplify each of the following powers of i. es^(001)-1.jpg. Simplify each of the following powers of i. es^(001)-1.jpg. This question hasn't been solved yet!A rational expression is an expression of the form p ( x) q ( x), where p and q are polynomials and q ≠ 0. Remember, division by 0 is undefined. Here are some examples of rational expressions: − 13 42 7y 8z 5x + 2 x2 − 7 4x2 + 3x − 1 2x − 8. Notice that the first rational expression listed above, − 13 42, is just a fraction.Right triangle mc001-1.jpg has mc001-2.jpg, a = 6, and b = mc001-3.jpg. Use this information to find mc001-4.jpg. This question hasn't been solved yet! Not what you’re looking for? Submit your question to a subject-matter expert. Send to expert Send to expert Send to expert done loading.Dimensional Analysis 1. I have 470 milligrams of table salt, which is the chemical compound NaCl. How many liters of NaCl solution can I make if I want the solution to be 0.90% NaCl? (9 grams of salt per 1000 grams of solution). The density of the NaCl solution is 1.0 g solution/mL solution. 3a + 2 − 6aa2 − 4 = 1a − 2. The students is incorrect. There are no solutions to this equation because first, you would find the LCD which is (a2) (a2). Next, you would simplify making 3 (a2)6aa2. Then, you would expand making 3a6a2. The next step is adding 6 to both sides. Soon, you get 4a/4 which equals 8/4. adioabiola. The simplification of i²² is equal to; -1. According to the question; We are required to determine the value of i²². By complex numbers; i = √-1. i² = -1. i³ = -1 × √-1 = -1 × i = -i. i⁴ = i² × i² = -1 × -1 = 1.Verified answer. Which statement is true about the primary intent to have work in process constraints?. 14. The value of a that makes the statement true is -5 . Given the following equation: [tex]3^ {-1 }\div 3^4 = 3^a [/tex] To determine the value of a that makes the …. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. Example 7.1.3. Determine the domain: x4 + x3 − 2x2 − x x2 − 1. Solution: To find the restrictions to the domain, set the denominator equal to 0 and solve: x2 − 1 = 0 (x + 1)(x − 1) = 0. x + 1 = 0 or x − 1 = 0 x = − 1 x = 1. These two values cause the denominator to be 0. Hence they are restricted from the domain.More powers of i. Let's keep this going! Let's find the next 4 powers of i using a similar method. i 5 = i 4 ⋅ i Properties of exponents = 1 ⋅ i Since i 4 = 1 = i i 6 = i 4 ⋅ i 2 Properties of exponents = 1 ⋅ ( − 1) Since i 4 = 1 and i 2 = − 1 = − 1 i 7 = i 4 ⋅ i 3 Properties of exponents = 1 ⋅ ( − i) Since i 4 = 1 and i 3 ...A free math video lesson on Simplify Powers of i. This lesson is based on the open education resource College Algebra by OpenStax. This lesson covers Simplif... 5. Compare and contrast the absolute value of a real number to that of a complex number. imaginary number complex plane real number negative always positive. We have an expert-written solution to this problem! Study with Quizlet and memorize flashcards containing terms like Simplify each of the following powers of i., √−100, √9 + √−36 ... Write a polynomial expression for the perimeter of a triangle whose sides have the following lengths. Give the degree and classify the polynomial by the number of terms. Simplify the following polynomial and write the answer in standard form. Combine like terms and classify the polynomial by the number of terms.richard bought 3 slices of cheese pizza and 2 sodas for $8.75. Jordan bought 2 slices of cheese pizza and 4 sodas for $8.50. How much would an order of 1 slice of cheese pizza and 3 sodas cost? A. $3.25 B. $5.25 C. $7.75 D. $7.25Study with Quizlet and memorize flashcards containing terms like A car battery produces electrical energy with the following chemical reaction. Pb + PbO2 + 2H2SO4 es001-1.jpg; 2PbSO4 + 2H2O What is the mole ratio of PbO2 to water? PbOes001-2.jpg:Hes001-3.jpgO = 1: How many moles of water are produced if 5.43 mol PbO2 are consumed?, The fuel used to power the booster rockets on space shuttles ... Example 1.7.1: Simplifying Rational Expressions. Simplify x2 − 9 x2 + 4x + 3. Solution. (x + 3)(x − 3) (x + 3)(x + 1) Factor the numerator and the denominator x − 3 x + 1 Cancel common factor (x + 3) Analysis. We can cancel the common factor because any expression divided by itself is equal to 1. P4O10 + 6H2O es001-1.jpg 4H3PO4 What is the mole ratio of water to H3PO4? Do not simplify the ratio. Do not simplify the ratio. Hes001-2.jpgO:Hes001-3.jpgPOes001-4.jpg = ___:4 How many moles of water are consumed if 0.729 mol H3PO4 are produced?A. Solve: 3 ln x = ln 216. B. Identify the solution set of 3 ln 4 = 2 ln x. C 8. Identify the solution set of 6 ln e = eln 2x. B 3. A town predicts that its population will double in es001-1.jpg years. Simplify the expression.Cancelling 3n - 2 from Numerator & Denominator. = 4 (3n + 2) = 12n + 8. (8/ (6n - 4) ) * (9n² - 4²) = 12n +8. Learn more: find the product of the following 5pq,-7q - …We can apply the properties of fractions to rational expressions, such as simplifying the expressions by canceling common factors from the numerator and the denominator. To do this, we first need to factor both the numerator and denominator. Let’s start with the rational expression shown. x2 + 8x + 16 x2 + 11x + 28 x 2 + 8 x + 16 x 2 + …Step 1: Simplify the rational function. i.e., Factor the numerator and denominator of the rational function and cancel the common factors. Step 2: Set the denominator of the simplified rational function to zero and solve. Here is an example to find the vertical asymptotes of a rational function.The LCD is (m − 4) (m − 1). (m − 4) (m − 1). Clear the fractions by multiplying both sides of the equation by the LCD. Distribute. Remove common factors. Simplify. Solve the resulting equation. Check. The only algebraic solution was 4, but we said that 4 would make a denominator equal to zero. The algebraic solution is an extraneous ...Calculus. Simplify (e^x-1)/ (e^ (-x)-1) ex − 1 e−x − 1 e x - 1 e - x - 1. Nothing further can be done with this topic. Please check the expression entered or try another topic. ex −1 e−x − 1 e x - 1 e - x - 1. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step ...so i^4 is back to 1. Take the power , divide by 4 and look to the chart for the remainder. If the remainder is 0 then i to that power is 1. 1 i . 2 -1. 3 -i. i^22 . Take 22/4 = 5 remainder 2. The remainder is 2 so i^22 = -1To simplify the given expression \((e^\frac{l^n}{2\ln e})\), we can use the property of logarithms that states \(\ln e = 1\). Therefore, the expression simplifies to \(e^\frac{l^n}{2}\). To find out in how many years the population of the town will double, we need to solve the equation where the initial population is multiplied by 2, which ...Step 1: Enter the inequality below which you want to simplify. The inequality calculator simplifies the given inequality. You will get the final answer in inequality form and interval notation. Step 2: Click the blue arrow to submit. Choose "Simplify" from the topic selector and click to see the result in our Algebra Calculator! Examples. SimplifyThe expression which is equivalent to RootIndex 3 StartRoot x Superscript 5 Baseline y EndRoot is; . x Superscript five-thirds Baseline y Superscript one-third; The expression can be written as; In essence, Upon simplification; we have; x⁵ ^(1/3) × y^(-1/3) Therefore, we have; x^(5/3) × y (-1/3)Free Cube Root calculator - Find cube roots of any number step-by-stepThe steps he could have used instead to simplify the expression (5 Superscript 4 Baseline) cubed Hence, the correct option is A. What is simplification of an expression? Usually, simplification involves proceeding with the pending operations in the expression .richard bought 3 slices of cheese pizza and 2 sodas for $8.75. Jordan bought 2 slices of cheese pizza and 4 sodas for $8.50. How much would an order of 1 slice of cheese pizza and 3 sodas cost? A. $3.25 B. $5.25 C. $7.75 D. $7.25Furthermore, expressions are a mathematical relationship that doesn't have an equality symbol. Examples of Expressions. 3x². 4x + y. 5x/y. x-3y². The word equivalent implies equal, so the expressions are equivalent, which means that they are equal. Given the expressions 2 (x - 5) + 1 and 2x - 9 These two expressions are equivalent or equal.Free Pre-Algebra, Algebra, Trigonometry, Calculus, Geometry, Statistics and Chemistry calculators step-by-step Select all of the following that you included in your answer. The answer is not correct. The student did not use the quotient of powers property correctly. The student divided the exponents within the parentheses instead of subtracting. The correct simplified form is x to the two-fifths power. <3 Learn with flashcards, games, and more — for free. One to any power is one. Multiply i i by 1 1. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.Natural log of e = ln e = 1; So, e^In 10 / 2 In e = 10/2 = 5. The complete question: A town predicts that its population will double in e ^ In 10/ 2 In e years. Simplify the expression. In how many years will the population of the town double? Therefore, the number of years it will take me population of the town to double is 5 years. Learn more ... 5. Compare and contrast the absolute value of a real number to that of a complex number. imaginary number complex plane real number negative always positive. We have an expert-written solution to this problem! Study with Quizlet and memorize flashcards containing terms like Simplify each of the following powers of i., √−100, √9 + √−36 ... The given expression can be evaluated by using following steps: Step 1 - Multiply numerator and denominator by . Step 2 - Multiply numerator and denominator by . Step 3 - Further simplify the above expression. Step 4 - Rearrange the above expression. The simplified form of is given by the expression: . For more information, …Step 1 - Write the parent function. Step 2 - Draw the graph of the parent function . Step 3 - Now, translate the graph of the parent function towards the right by 6 units. So, the graph obtained is the graph of . Step 4 - Now, stretch the graph of the function obtained in the above step by 3 units. So, the graph obtained is the graph of .Simplify i^15. Step 1. Rewrite as . Tap for more steps... Step 1.1. Factor out . Step 1.2. Rewrite as . Step 1.3. Factor out . Step 2. Rewrite as . Tap for more steps... Step 2.1. Rewrite as . Step 2.2. Rewrite as . Step 2.3. Raise to the power of . Step 3. One to any power is one. Step 4. Multiply by . Step 5.Explanation: To solve the equation 1/3a2 - 1/a = 1/6a2, we need to multiply every term in the equation by the common denominator, which is 6a2. This gives us 2a - 6 = a. Now, we can combine like terms and simplify the equation by subtracting 'a' from both sides. This gives us a - 6 = 0. Finally, we can solve for 'a' by adding 6 to both sides ...We find that 1.094 moles of water are consumed. The student has asked how many moles of water are consumed if 0.729 mol H₃PO₄ are produced in the reaction where phosphorus pentoxide ( P₄O₁₀) reacts with water (H₂O) to produce phosphoric acid (H₃PO₄), according to the equation P₄O₁₀ + 6H₂O → 4H₃PO₄.Therefore, the like radical to 3√54 is 3√ (2 * 3²). 1. Start with the given radical: 3√54. 2. Break down 54 into prime factors: 54 = 2 * 3². 3. Rewrite the radical using the prime factorization: 3√ (2 * 3²). 4. The like radical is then 3√ (2 * 3²), as it represents the same value as the original radical, 3√54.Feb 23, 2020 · 7 6 5 00 8 2 1 3 4 3. 456 4. 4 and Decide whether each statement is TRUE or FALSE. If the statement is FALSE, correct the statement. 1. 2. 23 21 and 2 … 2 are vertical angles. 41 and 5 are corresponding angles. 2 and 5 are alternate exterior angles. 6 are alternate interior angles. 5. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.A. B. Study with Quizlet and memorize flashcards containing terms like To multiply two fractions, multiply the numerator by the ____ and the denominator by the ____, Find the products in simplest form. 8/21 x 5/16 12/25 x 15/16, To divide two fractions, first rewrite the problem as the dividend times the ____ of the divisor. and more.In today’s digital age, the ability to convert files from one format to another has become increasingly important. One such conversion that is commonly needed is converting JPG ima... Algebra 2 Module 1 Review. How can the order of operations be used to simplify expressions? Click the card to flip 👆. By providing a set of rules on how to follow a foolproof order of operations when evaluating expressions, ensuring that everyone gets to the same answer once the expression is simplified. Click the card to flip 👆. The steps he could have used instead to simplify the expression (5 Superscript 4 Baseline) cubed Hence, the correct option is A. What is simplification of an expression? Usually, simplification involves proceeding with the pending operations in the expression .May 29, 2020 · Hence, the order of steps needed to simplify this expression is. Step 1. Step4. Step3. Step2. What is the simplification? Simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving. Here given expression is. Step 1:-Simplify the parenthesis. Step 2:- Evaluate exponents Therefore, the like radical to 3√54 is 3√ (2 * 3²). 1. Start with the given radical: 3√54. 2. Break down 54 into prime factors: 54 = 2 * 3². 3. Rewrite the radical using the prime factorization: 3√ (2 * 3²). 4. The like radical is then 3√ (2 * 3²), as it represents the same value as the original radical, 3√54.More powers of i. Let's keep this going! Let's find the next 4 powers of i using a similar method. i 5 = i 4 ⋅ i Properties of exponents = 1 ⋅ i Since i 4 = 1 = i i 6 = i 4 ⋅ i 2 Properties of exponents = 1 ⋅ ( − 1) Since i 4 = 1 and i 2 = − 1 = − 1 i 7 = i 4 ⋅ i 3 Properties of exponents = 1 ⋅ ( − i) Since i 4 = 1 and i 3 ...Answer: Denominator of 1. Step-by-step explanation: An expression can be written in rational form by writing it as a fraction with a denominator of 1. HOPES THIS HELPS! heart outlined.To simplify the given expression \((e^\frac{l^n}{2\ln e})\), we can use the property of logarithms that states \(\ln e = 1\). Therefore, the expression simplifies to \(e^\frac{l^n}{2}\). To find out in how many years the population of the town will double, we need to solve the equation where the initial population is multiplied by 2, which ...A rational expression is an expression of the form p ( x) q ( x), where p and q are polynomials and q ≠ 0. Remember, division by 0 is undefined. Here are some examples of rational expressions: − 13 42 7y 8z 5x + 2 x2 − 7 4x2 + 3x − 1 2x − 8. Notice that the first rational expression listed above, − 13 42, is just a fraction.We use the power rule to simplify the above equation. For the same base, ... How much would an order of 1 slice of cheese pizza and 3 sodas cost? A. $3.25 B. $5.25 C ...Identify the reference angle es001-1. Jpg for each given angle, es001-2. Jpg. Es001-3. Jpg degrees. Es002-1. Jpg degrees. Es003-1. Jpg degrees. Es004-1. Jpg degrees. heart. 40. verified. Verified answer. Accenture has signed a multi year agreement to help a mobile telecom provider. star. 4/5. heart. 4. verified. Verified answer. Which …What is the simplest form of mc001-1.jpg D The gravitational force formula is mc001-1.jpg where F is the force between two objects, G is the constant of gravitation, m1 is the …In today’s digital age, it’s essential to have versatile image formats that can be easily shared and used across various platforms. One popular conversion is converting JPG images ...Therefore, the like radical to 3√54 is 3√ (2 * 3²). 1. Start with the given radical: 3√54. 2. Break down 54 into prime factors: 54 = 2 * 3². 3. Rewrite the radical using the prime factorization: 3√ (2 * 3²). 4. The like radical is then 3√ (2 * 3²), as it represents the same value as the original radical, 3√54.In today’s digital age, it’s essential to have versatile image formats that can be easily shared and used across various platforms. One popular conversion is converting JPG images ...Simplify the expression using logarithmic and exponential properties. The property e ln x = x e^{\ln x} = x e l n x = x can be used to simplify the numerator. Also, since ln e = 1 \ln e = 1 ln e = 1 (because e is the base of the natural logarithm), this can be used to simplify the denominator Select the expression that is equivalent to: 3 sqrt 1089 Simplify completely: a and 99. Simplify: c and b. Simplify: b and b. Simplify: a and b. Simplify completely. b. We use the power rule to simplify the above equation. For the same base, ... How much would an order of 1 slice of cheese pizza and 3 sodas cost? A. $3.25 B. $5.25 C ...Describe how you would simplify the given expression. (20x^5y^2 / 5x^-3y^7) ^-3 , x=/= 0, y =/= 0. Simplify inside the parentheses by dividing coefficients, subtracting the exponents on like bases, and raising the resulting expression to the -3 power. Then, write bases with positive exponents. Raise the numerator and denominator to the -3 power ... Complete the multiplication to eliminate the denominators. The resulting equation is. (x - 2) (x + 2) - 3x = (x - 2) (x - 3) Simplifying each side of the equation results in x2 − 3x − 4 = x2 − 5x + 6. Find the solution: (x + 2/3x) − (1/x − 2) = (x − 3/3x) x = 5. Solve the rational equation by multiplying both sides by the LCD. Check all of the boxes that apply. B. 4,5. If x < 5 and x > c, give a value of c such that there are no solutions to the compound inequality. Explain why there are no solutions. The value of c could be 5 or any number greater than 5. Identify the graph of the inequality 2 (2x - 1) + 7 < 13 or -2x + 5 -10. C.adioabiola. The simplification of i²² is equal to; -1. According to the question; We are required to determine the value of i²². By complex numbers; i = √-1. i² = -1. i³ = -1 × √-1 = -1 × i = -i. i⁴ = i² × i² = -1 × -1 = 1.Step by Step Solution. Reformatting the input : Changes made to your input should not affect the solution: (1): "g4" was replaced by "g^4". 1 more similar replacement (s). (2): Dot was discarded near "1.j". Step 1 : Trying to factor as a Difference of Squares : 1.1 Factoring: es-jpg4.Algebra II For Dummies. Performing operations on complex numbers requires multiplying by i and simplifying powers of i. By definition, i = the square root of –1, so i2 = –1. If you want i3, you compute it by writing i3 = i2 x i = –1 x i = – i. Also, i4 = i2 x i2 = (–1) (–1) = 1. And then the values of the powers start repeating ...
Algebra Examples. Rewrite i15 i 15 as (i4)3(i2 ⋅i) ( i 4) 3 ( i 2 ⋅ i). Tap for more steps... Rewrite i4 i 4 as 1 1. Tap for more steps... One to any power is one. Multiply i2 ⋅i i 2 ⋅ i by 1 1. Rewrite i2 i 2 as −1 - 1. Rewrite −1i - 1 i as −i - i.. Johnny kimdir
Answer: 5 years. Step-by-step explanation: Given : A town predicts that its population will double in years. We know that . and the natural log of e = Then , the expression will becomesIn today’s digital age, image resizing has become an essential task for many individuals and businesses alike. When it comes to resizing JPG images without spending a dime, there a...Step by Step Solution. Reformatting the input : Changes made to your input should not affect the solution: (1): "g4" was replaced by "g^4". 1 more similar replacement (s). (2): …Study with Quizlet and memorize flashcards containing terms like A car battery produces electrical energy with the following chemical reaction. Pb + PbO2 + 2H2SO4 es001-1.jpg; 2PbSO4 + 2H2O What is the mole ratio of PbO2 to water? PbOes001-2.jpg:Hes001-3.jpgO = 1: How many moles of water are produced if 5.43 mol PbO2 are consumed?, The fuel used to power the booster rockets on space shuttles ...1.1 Factoring: es3-jpg Theory : A difference of two perfect cubes, a3-b3 can be factored into (a-b) • (a2+ab +b2) Proof : (a-b)• (a2+ab+b2) =a3+a2b+ab2-ba2-b2a-b3 =a3+ (a2b-ba2)+ (ab2-b2a)-b3=a3+0+0-b3=a3-b3 Check : e 1 is not a cube !! Ruling : Binomial can not be factored as the difference of two perfect cubes.We can apply the properties of fractions to rational expressions, such as simplifying the expressions by canceling common factors from the numerator and the denominator. To do this, we first need to factor both the numerator and denominator. Let’s start with the rational expression shown. x2 + 8x + 16 x2 + 11x + 28 x 2 + 8 x + 16 x 2 + …To simplify the given expressions, recall that (i) is the imaginary unit, defined as. (a) Therefore, (b) Therefore, In both cases, the expressions simplify to either t or -1 based on the properties of the imaginary unit (i) . The powers of t are reduced by exploiting the fact that , allowing for simplification and concise expression of the results. A free math video lesson on Simplify Powers of i. This lesson is based on the open education resource College Algebra by OpenStax. This lesson covers Simplif... Have you ever wondered how professional photographers manage to have such stunning images in the popular JPG format? It’s all about the process of converting photos from RAW to JPG...1.1 Factoring: es3-jpg Theory : A difference of two perfect cubes, a3-b3 can be factored into (a-b) • (a2+ab +b2) Proof : (a-b)• (a2+ab+b2) =a3+a2b+ab2-ba2-b2a-b3 =a3+ (a2b-ba2)+ (ab2-b2a)-b3=a3+0+0-b3=a3-b3 Check : e 1 is not a cube !! Ruling : Binomial can not be factored as the difference of two perfect cubes.To check the transformation rule, substitute the values of the coordinates (4, 5) into the rule. You get (4, 5) → (4+4, 5+7). Simplify to get (4, 5) → (8, 12). This is the …1) Rewrite the equation by factoring -8 from the radicand and taking the cube root to get -2 in front of the radical symbol. 2) The graph is reflected over the x-axis. 3) The graph is also reflected over the y-axis. 4) The graph is vertically stretched by a factor of 2. 5) The graph is translated ½ unit to the left.Study with Quizlet and memorize flashcards containing terms like Which graph shows the solution to the equation 4x - 3 = 8?, To solve e4 - 3x = mr001-1.jpgx + 9 by graphing, …Study with Quizlet and memorize flashcards containing terms like A car battery produces electrical energy with the following chemical reaction. Pb + PbO2 + 2H2SO4 es001-1.jpg; 2PbSO4 + 2H2O What is the mole ratio of PbO2 to water? How many moles of water are produced if 5.43 mol PbO2 are consumed?, The fuel used to power the booster rockets ….