Answer
$16x$
Work Step by Step
Use the rule $(ab)^m= a^{m}b^{m}$ to obtain:
$=2^4(x^{\frac{1}{4}})^4
\\=2(2)(2)(2)(x^{\frac{1}{4}})^4
\\=16(x^{\frac{1}{4}})^4$
Use the rule $(a^{m})^n = a^{mn}$ to obtain:
$=16x^{\frac{1}{4} \cdot 4}
\\=16x$
Intermediate Algebra for College Students (7th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13417-894-7
ISBN 13:
978-0-13417-894-3
Chapter 7 - Section 7.2 - Rational Exponents - Exercise Set - Page 522: 70
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