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Question
Express `27/64` and `(-27)/64` as powers of a rational number.
Sum
Solution
∵ 27 = 3 × 3 × 3 = 33, (–27) = (–3) × (–3) × (–3) = (–3)3
And 64 = 4 × 4 × 4 = 43
∴ `27/64 = 3^3/4^3 = (3/4)^3` and `(-27)/64 = (-3)^3/(4)^2 = ((-3)/4)^3`
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