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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 9: Q 590. (page 1145)

Simplify:
$4^{\frac{5}{2}} 4^{\frac{1}{2}}$

Short Answer

Expert verified

$4^{\frac{5}{2}} 4^{\frac{1}{2}} = 64$

Step by step solution

Given Information

The given expression is $4^{\frac{5}{2}} 4^{\frac{1}{2}}$

Simplification

To multiply the same bases, add the exponents

$4^{\frac{5}{2}} 4^{\frac{1}{2}} = 4^{\frac{5}{2} + \frac{1}{2}}$

$= 4^{\frac{5 + 1}{2}}$

$= 4^{\frac{6}{2}}$

$= 4^{3}$

$= 64$

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Simplify:452412

Short Answer

Step by step solution

Given Information

Simplification

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Simplify:
$4^{\frac{5}{2}} 4^{\frac{1}{2}}$