Question

(625)raise to the power -1/4 simplify

Answer 1

$Value \:of \: (625)^{\frac{-1}{4}}\\= (5^{4})^{\frac{-1}{4}}\\= 5^{4 \times \frac{-1}{4}}$

$\boxed { \pink { Since, (a^{m})^{n} = a^{m \times n } }}$

$= 5^{-1} \\= \frac{1}{5}$

Therefore.,

$\red { Value \:of \: (625)^{\frac{-1}{4}}}\green { = \frac{1}{5}}$

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