Elementary Algebra

Published by Cengage Learning
ISBN 10: 1285194055
ISBN 13: 978-1-28519-405-9

Chapter 11 - Additional Topics - 11.3 - Fractional Exponents - Problem Set 11.3: 36

Answer

9

Work Step by Step

Remember that whenever a fraction is raised to a negative power, we flip the numerator and the denominator of the fraction and make the exponent positive. Thus, we find: $(1/27)^{-2/3} = (27^{2/3})$ Now, recall the formula:$ a^{b/c}=( \sqrt[c] {a})^{b}$. Thus, we obtain: $(27^{2/3})=(\sqrt[3] {27})^{2}=(3^{2})=9$
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