mattgondek4

2020-12-17

Use rational exponents to simplify. Write the answer in radical notation if appropriate
$(\sqrt[7]{cd}{)}^{14}$

avortarF

Skilled2020-12-18Added 113 answers

Given:

$(\sqrt[7]{cd}{)}^{14}$

We need use property of rational exponents

$(\sqrt[b]{a}{)}^{c}={\left(\frac{(a{)}^{1}}{b}\right)}^{c}=({a}^{\frac{c}{b}})$

use property of rational exponents

$(\sqrt[b]{a}{)}^{c}={\left(\frac{(a{)}^{1}}{b}\right)}^{c}=({a}^{\frac{c}{b}})$

${\left(\frac{(CD{)}^{1}}{7}\right)}^{14}=\frac{(CD{)}^{14}}{7}=(CD{)}^{2}={C}^{2}{D}^{2}$

Finally answer is:$(CD{)}^{2}={C}^{2}{D}^{2}$

We need use property of rational exponents

use property of rational exponents

Finally answer is:

Jeffrey Jordon

Expert2021-11-03Added 2605 answers

Answer is given below (on video)

$\frac{20b}{{\left(4{b}^{3}\right)}^{3}}$

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