Find the value of frac{4}{(216)^{-frac{2}{3}} | vedclass

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Question

We have,

$\frac{4}{(216)^{-\frac{2}{3}}}+\frac{1}{(256)^{-\frac{3}{4}}}+\frac{2}{(243)^{-\frac{1}{5}}}=4(216)^{\frac{2}{3}}+(256)^{\frac{3}{4}}+2(2

Vedclass · Accepted Answer

$214$

Vedclass · Answer

We have,

$\frac{4}{(216)^{-\frac{2}{3}}}+\frac{1}{(256)^{-\frac{3}{4}}}+\frac{2}{(243)^{-\frac{1}{5}}}=4(216)^{\frac{2}{3}}+(256)^{\frac{3}{4}}+2(243)^{\frac{1}{5}}$

$=4\left(6^{3}ight)^{\frac{2}{3}}+\left(4^{4}ight)^{\frac{3}{4}}+2\left(3^{5}ight)^{\frac{1}{5}}$

$=4 	imes 6^{3 	imes \frac{3}{2}}+4^{4 	imes \frac{3}{4}}+2 	imes 3^{5 	imes \frac{1}{5}}$

$=4 	imes 6^{2}+4^{3}+2 	imes 3$

$=144+64+6$

$=214$

Find the value of $\frac{4}{(216)^{-\frac{2}{3}}}+\frac{1}{(256)^{-\frac{3}{4}}}+\frac{2}{(243)^{-\frac{1}{5}}}$

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