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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset Vaia Explanations$ Math

2nd Edition · 1240 pages

ISBN: 9780998625713

Chapter 9: Q 110. (page 1054)

Simplify: $\sqrt{\frac{p^{20}}{p^{10}}}$

Short Answer

Expert verified

The required answer is $p^{5}$ .

Step by step solution

01

Step 1. Given information.

The given square root is $\sqrt{\frac{p^{20}}{p^{10}}}$ .

02

Step 2. Simplify the given root.

$\sqrt{\frac{p^{20}}{p^{10}}} = \sqrt{p^{10}}$

Apply radical rule.

$= p^{\frac{10}{2}} = p^{5}$

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