Compute:
[2764]−23\Big[\dfrac{27}{64}\Big]^{-\dfrac{2}{3}}[6427]−32
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[2764]−23=[3343]−23=[34]−3×23=[34]−2=[43]2=[4×43×3]=169=179\Big[\dfrac{27}{64}\Big]^{-\dfrac{2}{3}}\\[1em] = \Big[\dfrac{3^3}{4^3}\Big]^{-\dfrac{2}{3}}\\[1em] = \Big[\dfrac{3}{4}\Big]^{-3 \times \dfrac{2}{3}}\\[1em] = \Big[\dfrac{3}{4}\Big]^{-2}\\[1em] = \Big[\dfrac{4}{3}\Big]^2\\[1em] = \Big[\dfrac{4 \times 4}{3 \times 3}\Big]\\[1em] = \dfrac{16}{9}\\[1em] = 1\dfrac{7}{9}[6427]−32=[4333]−32=[43]−3×32=[43]−2=[34]2=[3×34×4]=916=197
[2764]−23=179\big[\dfrac{27}{64}\Big]^{-\dfrac{2}{3}} = 1\dfrac{7}{9}[6427]−32=197
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