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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 518. (page 1125)

Simplify: $\sqrt[3]{64 a^{10}} - \sqrt[3]{- 216 a^{12}}$

Short Answer

Expert verified

$\sqrt[3]{64 a^{10}} - \sqrt[3]{- 216 a^{12}} = 4 a^{3} \sqrt{a} + 6 a^{4}$

Step by step solution

01

Given Information

Given Expression is $\sqrt[3]{64 a^{10}} - \sqrt[3]{- 216 a^{12}}$ .

02

Simplification

$\sqrt[3]{64 a^{10}} - \sqrt[3]{- 216 a^{12}}$

Rewrite perfect cubic powers

$= \sqrt[3]{{(4 a^{3})}^{3} . a} - \sqrt[3]{{(- 6 a^{4})}^{3}}$

Simplify

$= 4 a^{3} \sqrt{a} - (- 6 a^{4})$

localid="1650384028218" $= 4 a^{3} \sqrt{a} + 6 a^{4}$

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