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If 3^(4x)=(81)^(-1) and 10^(1/y)=0. 0001...

If `3^(4x)=(81)^(-1)` and `10^(1/y)=0. 0001 ,` find the value of `2^(-x+4y)`

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given `3^(4x)=(81)^(-1)`
`3^(4x)=(3)^(-4)`
so x`=-1`
`10^(1/y)=0. 0001`
`10^(1/y)=(10)^4`
so y`=1/4`
so `2^(-x+4y)=2^2=4`
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