Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter P - Section P.2 - Exponents and Scientific Notation - Exercise Set - Page 31: 123

Answer

$(3^2)^4=3^{8}$, see explanations.

Work Step by Step

The Power Rule (Powers to Powers) states that when an exponential expression, such as $3^2$, is raised to a power, such as $(3^2)^4$, multiply the exponents; in this case, $2\times4=8$. Place the product of the exponents on the base and remove the parentheses; in this case, $(3^2)^4=3^{8}$
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