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

Question

Use rational exponents to simplify. Write the answer in radical notation if appropriate

(\sqrt[7]{c d})^{14}

Answer 1

Given:

(\sqrt[7]{c d})^{14}

We need use property of rational exponents

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

use property of rational exponents

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

{(\frac{(C D)^{1}}{7})}^{14} = \frac{(C D)^{14}}{7} = (C D)^{2} = C^{2} D^{2}

Finally answer is:

(C D)^{2} = C^{2} D^{2}

Answer 2

Jeffrey Jordon

Answered 2021-11-03 Author has 2047 answers

Answer is given below (on video)

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