Find: $625^{\frac{1}{4}}$

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Solution

$625^{\frac{1}{4}}$
$= \sqrt[4]{625}$
$= \sqrt[4]{5 \times 5 \times 5 \times 5}$
$= \sqrt[4]{(5)^{4}}$
$= 5^{4 \times \frac{1}{4}}$
$= 5^{1} = 5$

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Similar questions

Q. Simplify:

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

{(\frac{64}{125})}^{- 2 / 3} \div \frac{1}{{(256 / 625)}^{1 / 4}} + {(\frac{(\sqrt{25})}{\sqrt[3]{64}})}^{0} =

Evaluate: ${(\begin{matrix} \frac{64}{125} \end{matrix})}^{\frac{- 2}{3}} \div \frac{1}{(\frac{256}{625})^{\frac{1}{4}}} + (\begin{matrix} \frac{(\sqrt{25})}{\sqrt[3]{64}} \end{matrix})$

625^{\frac{1}{3}} \times 1600^{\frac{1}{3}}

= ___

Q. Solve :

{(\frac{64}{125})}^{- 2 / 3} + \frac{1}{{(\frac{256}{625})}^{1 / 4}} + {(\frac{\sqrt{25}}{\sqrt[3]{64}})}^{0} = \frac{61}{16}

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Find: 62514

62514=4√625=4√5×5×5×5=4√(5)4=54×14=51=5

Find: $625^{\frac{1}{4}}$

$625^{\frac{1}{4}}$
$= \sqrt[4]{625}$
$= \sqrt[4]{5 \times 5 \times 5 \times 5}$
$= \sqrt[4]{(5)^{4}}$
$= 5^{4 \times \frac{1}{4}}$
$= 5^{1} = 5$