Evaluate:
(52−32)×(23)−3(5^2 - 3^2) \times \Big(\dfrac{2}{3}\Big)^{-3}(52−32)×(32)−3
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(52−32)×(23)−3=(5×5−3×3)×(32)3=(25−9)×(3×3×32×2×2)=(16)×(278)=(16×278)=(4328)=54(5^2 - 3^2) \times \Big(\dfrac{2}{3}\Big)^{-3}\\[1em] = (5 \times 5 - 3 \times 3) \times \Big(\dfrac{3}{2}\Big)^3\\[1em] = (25 - 9) \times \Big(\dfrac{3 \times 3 \times 3}{2 \times 2 \times 2}\Big)\\[1em] = (16) \times \Big(\dfrac{27}{8}\Big)\\[1em] = \Big(\dfrac{16 \times 27}{8}\Big)\\[1em] = \Big(\dfrac{432}{8}\Big)\\[1em] = 54(52−32)×(32)−3=(5×5−3×3)×(23)3=(25−9)×(2×2×23×3×3)=(16)×(827)=(816×27)=(8432)=54
Hence, (52−32)×(23)−3=54(5^2 - 3^2) \times \Big(\dfrac{2}{3}\Big)^{-3} = 54(52−32)×(32)−3=54
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