Book edition Middle English Edition

Author(s) Carter

Pages 804 pages

ISBN 9780079039903

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Short Answer

Alejandra and Kyle both simplified $\frac{2 a^{2} b}{{(- 2 a b^{3})}^{- 2}}$ . Who is correct? Explain your reasoning.

Alejandra is correct.

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Write down the given information.

The given expression is $\frac{2 a^{2} b}{{(- 2 a b^{3})}^{- 2}}$ which is solved by both Alejandra and Kyle.

Step 2. Explanation.

The given expression $\frac{2 a^{2} b}{{(- 2 a b^{3})}^{- 2}}$ is solved correctly by Alejandra and Kyle is not correct, because in first step Kyle wrote $\frac{2 a^{2} b}{{(- 2 a b^{3})}^{- 2}} = \frac{2 a^{2} b}{{(- 2)}^{- 2} a {(b^{3})}^{- 2}}$ instead of $\frac{2 a^{2} b}{{(- 2 a b^{3})}^{- 2}} = \frac{2 a^{2} b}{{(- 2)}^{- 2} {(a)}^{- 2} {(b^{3})}^{- 2}}$ . Therefore, Kyle is incorrect because there should be ${(a)}^{- 2}$ in place of $(a)$ by using the concept of exponents of power property.

Hence, Alejandra is correct.

Step 3. Conclusion.

Alejandra is correct.

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Algebra 2

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Short Answer

Alejandra and Kyle both simplified $\frac{2 a^{2} b}{{(- 2 a b^{3})}^{- 2}}$ . Who is correct? Explain your reasoning.

Step by Step Solution

Step 1. Write down the given information.

Step 2. Explanation.

Step 3. Conclusion.

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Algebra 2

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Short Answer

Alejandra and Kyle both simplified2a2b(−2ab3)−2 . Who is correct? Explain your reasoning.

Step by Step Solution

Step 1. Write down the given information.

Step 2. Explanation.

Step 3. Conclusion.

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Alejandra and Kyle both simplified $\frac{2 a^{2} b}{{(- 2 a b^{3})}^{- 2}}$ . Who is correct? Explain your reasoning.