Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 6 - Radical Functions and Rational Exponents - 6-4 Rational Exponents - Practice and Problem-Solving Exercises - Page 387: 73

Answer

$2,097,152$

Work Step by Step

We want to break down this problem a little to be able to work with it. The number $64$ can be broken down into a small base raised to a power: $2^6$. Let's rewrite this number: $(2^6)^{3.5}$ Raising a power to a power means we can multiply the two powers or exponents together: $2^{(6)(3.5)}$ Multiply to simplify: $2^{21}$ Simplify by raising the base to the specified power: $2,097,152$
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