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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 459. (page 1124)

Simplify:
(a) $\sqrt[3]{- 8 c^{9}}$
(b) $\sqrt[3]{125 d^{15}}$

Short Answer

Expert verified

(a) $\sqrt[3]{- 8 c^{9}} = - 2 c^{3}$

(b) $\sqrt[3]{125 d^{15}} = 5 d^{5}$

Step by step solution

01

Part (a) Step 1: Given Information

The given expression is $\sqrt[3]{- 8 c^{9}}$

02

Part (a) Step 2: Simplification

It can be written as

$\sqrt[3]{- 8 c^{9}} = \sqrt[3]{{(- 2 c^{3})}^{3}}$

Taking cube root

$= - 2 c^{3}$

03

Part (b) Step 1: Given Information

The given expression is $\sqrt[3]{125 d^{15}}$

04

Part (b) Step 2: Simplification

It can be written as

$\sqrt[3]{125 d^{15}} = \sqrt[3]{{(5 d^{5})}^{3}}$

Taking cube root

$= 5 d^{5}$

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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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In the following exercises, simplify.

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