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Simplify: (256)^-(4^(((-3)/2)))...

Simplify: `(256)^-(4^(((-3)/2)))`

Text Solution

Verified by Experts

`(256)^-(4^(-3/2))=(256)^((-4)^(-3/2)=(256)^((2^(2)))^(-(3)/(2))`
`=(256)^(-(2^(2xx-3/2)))=(256)^(-(2^(-3)))`
`(2^(8))^((1/2^(3)))=(2^(8))^(-1/8)`
`2^(8xx-1/8)=2^(-1=1/2)`
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