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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 9.186 (page 1116)

Simplify: $(a) \sqrt[5]{p^{8}} (b) \sqrt[6]{q^{13}}$

Short Answer

Expert verified

The simplification of the expressions are:

$(a) \sqrt[5]{p^{8}} = p \sqrt[5]{p^{3}} (b) \sqrt[6]{q^{13}} = q^{2} \sqrt[6]{q}$

Step by step solution

01

Step 1. Part (a) Given the information

Given expression is $\sqrt[5]{p^{8}}$

02

Step 2. Simplification

$\sqrt[5]{p^{8}} = \sqrt[5]{p^{5 + 3}} = \sqrt[5]{p^{5} 脳 p^{3}} = p \sqrt[5]{p^{3}}$

03

Step 3. Part (b) Given the information

Given expression is $\sqrt[6]{q^{13}}$

04

Step 4. Simplification

$\sqrt[6]{q^{13}} = \sqrt[6]{q^{12 + 1}} = \sqrt[6]{q^{12} 脳 q^{1}} = q^{2} \sqrt[6]{q}$

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Most popular questions from this chapter

Accident investigation: An accident investigator measured the skid marks of one of the vehicles involved in an accident. The length of the skid marks was 117 feet. Use the formula $s = \sqrt{24 d}$ to find the speed of the vehicle before the brakes were applied. Round your answer to the nearest tenth.

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