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Let's go over each of the expressions and see if they are equal to 1/8


2^(-3)=(1)/(2^3)=(1)/(8)

So A is equivalent


(-8)^1=-8

So B is not equivalent


((32)/(4))^(-1)=(1)/((32)/(4))=(4)/(32)=(1)/(8)

So C is equivalent


8^8-8^9=-117440512

So D is not equivalent


(8^8)/(8^9)=8^(8-9)=8^(-1)=(1)/(8)

So E is equivalent


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