Simplify: {(256)^4}^{-frac{3}{2}} | vedclass

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Question

$(256)^{-\left(4^{-\frac{3}{2}}ight)}$

$=\left(2^{8}ight)^{-\left(4^{-\frac{3}{2}}ight)}=\left(2^{8}ight)^{-\left(2^{2 	imes-\frac{3}{2}}\

Vedclass · Accepted Answer

$\frac{1}{2}$

Vedclass · Answer

$(256)^{-\left(4^{-\frac{3}{2}}ight)}$

$=\left(2^{8}ight)^{-\left(4^{-\frac{3}{2}}ight)}=\left(2^{8}ight)^{-\left(2^{2 	imes-\frac{3}{2}}ight)}=\left(2^{8}ight)^{-\left(2^{-3}ight)}$

$=\left(2^{8}ight)^{-\left(\frac{1}{8}ight)}=2^{8	imes\left(-\frac{1}{8}ight)}=2^{-1}$

$=\frac{1}{2}$

Simplify: ${(256)^4}^{-\frac{3}{2}}$

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