Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 7 - Exponents and Exponential Functions - 7-2 Multiplying Powers With the Same Base - Lesson Check: 7

Answer

The friend is wrong because the sum of the exponents is wrong and the product of 4 and 3 is 12, not 7. The correct answer is 12$a^{\frac{7}{10}}$

Work Step by Step

4$a^{\frac{1}{2}}$ $\times$ 3$a^{\frac{1}{5}}$ = (4$\times$3)($a^{\frac{1}{2}+\frac{1}{5}})$ = 12$a^{\frac{1(5)+1(2)}{10}}$ =12$a^{\frac{7}{10}}$
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