Mathematics

Problem

Simplify the following expressions by converting each radical to a power with a rational exponent. Write your final answer as a single power of the indicated base. a. (i)

5\sqrt{125}

(express the answer as a power of

5

). b. (ii)

\left(\sqrt[3]{32}\right)^{5}

(express the answer as a power of

2

). c. (iii)

\displaystyle \frac{\sqrt{8}}{\sqrt[3]{4}}

(express the answer as a power of

2

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