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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 479 (page 1124)

Use the Quotient Property to Simplify Expressions with Higher Roots
a) $\sqrt[5]{\frac{d^{12}}{d^{7}}}$
b) $\sqrt[8]{\frac{m^{12}}{m^{4}}}$

Short Answer

Expert verified

Part (a) $\sqrt[5]{\frac{d^{12}}{d^{7}}} = d$

Part (b) $\sqrt[8]{\frac{m^{12}}{m^{4}}} = m$

Step by step solution

01

Part (a)Step 1:Given information

The given expression is $\sqrt[5]{\frac{d^{12}}{d^{7}}}$

02

Part (a)Step 2:Simplification

Simplify the fraction under the radical first $\sqrt[5]{d^{5}}$

Simplify $d$

03

Part (b)Step 1;Given information

The given expression is $\sqrt[8]{\frac{m^{12}}{m^{4}}}$

04

Part (b)Step 2:Simplification

Simplify the fraction under the radical first $\sqrt[8]{m^{8}}$

Simplify $m$

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