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Question
Simplify:
`[(1/2)^2 - (1/4)^3]^-1 xx 2^-3`
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Solution
Given, `[(1/2)^2 - (1/4)^3]^-1 xx 2^-3`
= `(1/4 - 1/64)^-1 xx 2^-3`
= `((16 - 1)/64)^-1 xx 2^-3`
= `(15/64)^-1 xx 2^-3`
= `64/15 xx 1/8` ...`[∵ a^-m = 1/a^m]`
= `8/15`
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