Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Prerequisites - P.2 - Exponents and Radicals - Exercises - Page 25: 61

Answer

$a]$ $\frac{1}{8}$ $b]$ $\frac{27}{8}$

Work Step by Step

$a]$ $(32)^{\frac{-3}{5}}=$ $(2)^{5 \times \frac{-3}{5}} =$ $(2)^{(-3)}=$ $\frac{1}{8}$ $b]$ $(\frac{16}{81})^\frac{-3}{4}=$ $(\frac{2}{3})^{4\times\frac{-3}{4}}=$$(\frac{2}{3})^{-3}=$ $\frac{27}{8}$
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