[tex]\begin{aligned} \sf \frac{(5^2 \times 3)^3 \times 5^{-6}}{3^{-1}} &= \sf \frac{(5^2)^3 \times 3^3 \times 5^{-6}}{3^{-1}} \\ &= \sf \frac{5^6 \times 3^3 \times 5^{-6}}{3^{-1}} \\ &= \sf 5^{6-6} \times 3^{3+1} \\ &= \sf 5^0 \times 3^4 \\ &= \sf 1 \times 81 \\ &= \sf 81\end{aligned}[/tex]
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[tex]\begin{aligned} \sf \frac{(5^2 \times 3)^3 \times 5^{-6}}{3^{-1}} &= \sf \frac{(5^2)^3 \times 3^3 \times 5^{-6}}{3^{-1}} \\ &= \sf \frac{5^6 \times 3^3 \times 5^{-6}}{3^{-1}} \\ &= \sf 5^{6-6} \times 3^{3+1} \\ &= \sf 5^0 \times 3^4 \\ &= \sf 1 \times 81 \\ &= \sf 81\end{aligned}[/tex]
⌗SDaze ⋆࿐໋₊