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16/81
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Step-by-step explanation:
law of indices = (a^m)^n = a^m×n
so,
{(3/2)^-2}^2 = (3/2)^-2×2 = (3/2)^-4
law of indices:- (a/b)^-m = (b/a)^m
so,
(3/2)^-4 = (2/3)^4
= 2/3 × 2/3 × 2/3 × 2/3
= 16/81
hope this helps you
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