Simplify: [ (4 3 )^ -2 - (3 4 )^2 ]^ (-2) - Vidyadip

Question

Simplify: $\Big[\big(\frac{4}{3}\big)^{-2}-\big(\frac{3}{4}\big)^2\Big]^{(-2)}$

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Answer

$\Big[\big(\frac{4}{3}\big)^{-2}-\big(\frac{3}{4}\big)^2\Big]^{(-2)}$$=\Big[\big(\frac{3}{4}\big)^{2}-\big(\frac{3}{4}\big)^2\Big]^{(-2)}=[0]^{-2}=0$

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