Elementary Algebra

Published by Cengage Learning

Chapter 2 - Real Numbers - 2.4 - Exponents - Problem Set 2.4 - Page 75: 11

Answer

$\dfrac{16}{81}$

Work Step by Step

Recall, the exponent tells us how many times to multiply the base (which is the fraction in this case) by itself. Thus, we obtain: $\left(\dfrac{2}{3}\right)^4=\left(\dfrac{2}{3}\right)\left(\dfrac{2}{3}\right)\left(\dfrac{2}{3}\right)\left(\dfrac{2}{3}\right)=\dfrac{16}{81}$

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