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: 125

Answer

The power rule for exponents is that when raising a power to another power (i.e. $(x^{y})^{z}$), multiply the two exponents together (i.e. $x^{yz}$).

Work Step by Step

To solve $(3^{2})^{4}$, we have to multiply the two exponents, 2 and 4. $3^{2\times4} = 3^{8} = 6561$.
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