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

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

D25

Answer:

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

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

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

$=5^{2-1}$

$=5$

Related Questions:

If x = 2⁸ and $x^x = 2^y$ , then find the value of 'y'.

$(1 1^{3} + 2 0^{2} - 3)^{1/3} =$

$\frac{(123-2)^{1/2}(78+3)^{1/4}}{243^{(1/5)}}$

$(125)^{\frac{2}{3}}\times(625)^{\frac{-1}{4}}=5^x$

x=?