Evaluate:
{(−12)−2}−3\Big{\Big(-\dfrac{1}{2}\Big)^{-2}\Big}^{-3}{(−21)−2}−3
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{(−12)−2}−3={(−21)2}−3={(−2×21×1)}−3={41}−3={14}3={1×1×14×4×4}=164\Big{\Big(-\dfrac{1}{2}\Big)^{-2}\Big}^{-3}\\[1em] = \Big{\Big(-\dfrac{2}{1}\Big)^2\Big}^{-3}\\[1em] = \Big{\Big(-\dfrac{2 \times 2}{1 \times 1}\Big)\Big}^{-3}\\[1em] = \Big{\dfrac{4}{1}\Big}^{-3}\\[1em] = \Big{\dfrac{1}{4}\Big}^3\\[1em] = \Big{\dfrac{1 \times 1 \times 1 }{4 \times 4 \times 4}\Big}\\[1em] = \dfrac{1}{64}{(−21)−2}−3={(−12)2}−3={(−1×12×2)}−3={14}−3={41}3={4×4×41×1×1}=641
{(−12)−2}−3=164\Big{\Big(-\dfrac{1}{2}\Big)^{-2}\Big}^{-3} = \dfrac{1}{64}{(−21)−2}−3=641
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