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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 111. (page 1054)

Simplify: $\sqrt{\frac{y^{4}}{y^{8}} 鈥�}$

Short Answer

Expert verified

The required answer is $\frac{1}{y^{2}}$ .

Step by step solution

01

Step 1. Given information.

The given square root is $\sqrt{\frac{y^{4}}{y^{8}}}$ .

02

Step 2. Simplify the given root.

$\sqrt{\frac{y^{4}}{y^{8}}} = \sqrt{\frac{1}{y^{4}}}$

Apply radical rule.

$\frac{\sqrt{1}}{\sqrt{y^{4}}} = \frac{1}{\sqrt{y^{4}}} = \frac{1}{y^{2}}$

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