Simplify: ${({({(625)}^{- 1 / 2})}^{- 1 / 4})}^{2}$

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Solution

The correct option is B 5
${({({(625)}^{- 1 / 2})}^{- 1 / 4})}^{2}$ $\Rightarrow$ ${(625)}^{\frac{- 1}{2} \times \frac{- 1}{4} \times 2}$

$\Rightarrow$ $(625)^{\frac{1}{4}}$

$\Rightarrow$ $\sqrt[4]{625}$

$\Rightarrow$ $5$

$∴$ ${({({(625)}^{- 1 / 2})}^{- 1 / 4})}^{2} = 5$

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Similar questions

128^{\frac{- 2}{7}} - (625^{- 3})^{\frac{- 1}{4}} + 14 (2401)^{\frac{- 1}{4}}

Simplify : ${⎡ ⎣ {(625)^{\frac{- 1}{2}}}^{\frac{- 1}{4}} ⎤ ⎦}^{2}$

{(25)}^{3 / 2} \times {(625)}^{- 1 / 4}

625^{\frac{1}{4}}

\frac{8^{- 1} \times 5^{3}}{4^{- 4} \times 625}

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