Simplify the following expressions by converting each radical to a power with a…

MATHEMATICS · Multi-part · CBSE · Mathematics · Number Systems · Number Systems

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. (i)

5\sqrt{125}

(express the answer as a power of

5

). (ii)

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

(express the answer as a power of

2

). (iii)

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

(express the answer as a power of

2

Related theory

Laws of Exponents
Real Number System
Laws of exponents for real numbers
Number Systems

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