Solve ${(\frac{7^{- 4}}{4^{- 2}})}^{\frac{1}{4}}$

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Solution

${(\frac{7^{- 4}}{4^{- 2}})}^{\frac{1}{4}}$

$= \frac{7^{- 1}}{4^{- \frac{1}{2}}}$

$= \frac{\frac{1}{7}}{\frac{1}{2}} = \frac{2}{7}$

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