Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 10 - Section 10.2 - Rational Exponents - Practice: 12

Answer

$\frac {1}{9}$

Work Step by Step

Keep in mind that the index is the denominator of the exponent. To write an expression without a negative exponent, take the reciprocal of the base with the same exponent's absolute value. $27^{-2/3}$ $\frac {1}{27^{2/3}}$ Reciprocal. $\frac {1}{(\sqrt[3]{27})^{2}}$ $\frac {1}{(3)^{2}}$ $\frac {1}{9}$
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