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: 62

Answer

$a]$ $\frac{1}{1000}$ $b]$ $\frac{2}{3}$

Work Step by Step

$a]$ $100^{\frac{-3}{2}}=$ $(10^{2})^\frac{-3}{2}=$ $10^{-3}=$ $\frac{1}{1000}$ $b]$ $(\frac{9}{4})^{\frac{-1}{2}}=$ $(\frac{3}{2})^\frac{2\times-1}{2}= $ $(\frac{3}{2})^{-1}=$ $\frac{2}{3}$
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