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Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset Vaia Explanations$ Math

2nd Edition · 1240 pages

ISBN: 9780998625713

Chapter 9: Simplify: (page 1116)

5 $\sqrt[]{}$ p⁸

Short Answer

Expert verified

The solution of 5 $\sqrt[]{}$ p⁸is p⁵ $\sqrt[]{}$ p³

Step by step solution

01

Given Information

The given radicand to be solved is (p)⁵ $\sqrt[]{}$ p³

02

Finding solution

The given radicand is^{5 $\sqrt[]{}$}p⁸

Rewrite the radicand as a product using the

greatest perfect fourth power factor.

^{5 $\sqrt[]{}$}p^3.p⁵

^{5 $\sqrt[]{}$}p³.^{5 $\sqrt[]{}$}p⁵

simplify. (p)^{5 $\sqrt[]{}$}p³

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Most popular questions from this chapter

In the following exercises, solve:

$\sqrt{4 v + 3} = \sqrt{v - 6}$ .

In the following exercises, simplify.

$\frac{\sqrt{96}}{\sqrt{150}}$

Accident investigation: The skid marks for a car involved in an accident measured 216 feet. Use the formula $s = \sqrt{24 d}$ to find the speed of the car before the brakes were applied. Round your answer to the nearest tenth.

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.

In the following exercises, simplify by rationalizing the denominator

$\frac{\sqrt{5}}{\sqrt{n} - \sqrt{7}}$

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