$ 125^ {\frac{2}{3}}\times 625^ {\frac{-1}{4}} =?$

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$125^ {\frac{2}{3}}\times 625^ {\frac{-1}{4}} =?$

D25

Answer:

$125^ {\frac{2}{3}}\times 625^ {\frac{-1}{4}}$

$=(5^3)^{2/3}\times(5^4)^{-1/4}$

$=5^2\times5^{-1}$

$=5^{2-1}$

$=5$

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