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Question
Express as a power of a rational number with negative exponent.
`(((-3)/2)^-2)^-3`
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Solution
Using laws of exponents,
(am)n = (a)m × n and `a^-m = 1/a^m` ...[∵ a is non-zero integer]
∴ `(((-3)/2)^-2)^-3 = ((-3)/2)^(-2 xx (-3))`
= `((-3)/2)^6`
= `(2/3)^-6`
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