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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 9.183. (page 1115)

Simplify: (a) $\sqrt[3]{27 x^{27}}$ (b) $\sqrt[4]{81 q^{28}}$

Short Answer

Expert verified

Part (a) $\sqrt[3]{27 x^{27}} = 3 x^{3}$

Part (b) $\sqrt[4]{81 q^{28}}$

Step by step solution

01

Given information

The given is $\sqrt[3]{27 x^{27}}$ .

02

Formula used

${(a^{m})}^{\frac{1}{m}} = a^{m 脳 \frac{1}{m}}$

03

Finding solution

The given is $\sqrt[3]{27 x^{27}}$

Using the formula of ${(a^{m})}^{\frac{1}{m}} = a^{m 脳 \frac{1}{m}}$

role="math" localid="1648792451310" $\sqrt[3]{27 x^{27}} = {(27 x^{27})}^{\frac{1}{3}} = {(3^{3} x^{27})}^{\frac{1}{3}} = 3^{3 脳 \frac{1}{3}} x^{27 脳 \frac{1}{3}} = 3 x^{9}$

The solution of $\sqrt[3]{27 x^{27}}$ is $3 x^{9}$ .

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