Simplify the expression involving rational exponents:
${(\frac{25}{64})}^{1 / 2}$

\frac{25}{8}

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Not a real number

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\frac{5}{8}

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\frac{5}{64}

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Solution

The correct option is C $\frac{5}{8}$
${(\frac{25}{64})}^{\frac{1}{2}}$ = ${(\frac{5^{2}}{8^{2}})}^{\frac{1}{2}}$ = $\frac{5}{8}$

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Similar questions

Simplify and express with positive exponents ${(2^{- 1} \div 5^{- 1})}^{2} \times {(\frac{- 5}{8})}^{- 2}$

8^{6} \times 8^{- 5}

64 a^{2} + 8 a b + 25 b^{2}

\frac{25^{4} \times 5^{2}}{25^{5}}

- \frac{2}{5} \times (\frac{3}{8} - 25)

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