Compute:
(12)−2×33(12)^{-2} \times 3^3(12)−2×33
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(12)−2×33=(22×3)−2×33=(22)−2×(3)−2×33=(2)−4×(3)−2+3=[12]4×31=116×31=316(12)^{-2} \times 3^3\\[1em] = (2^2 \times 3)^{-2} \times 3^3\\[1em] = (2^2)^{-2} \times (3)^{-2} \times 3^3\\[1em] = (2)^{-4} \times (3)^{-2+3}\\[1em] = \Big[\dfrac{1}{2}\Big]^4 \times 3^1\\[1em] = \dfrac{1}{16} \times 3^1\\[1em] = \dfrac{3}{16}(12)−2×33=(22×3)−2×33=(22)−2×(3)−2×33=(2)−4×(3)−2+3=[21]4×31=161×31=163
(12)−2×33=316(12)^{-2} \times 3^3 = \dfrac{3}{16}(12)−2×33=163
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