Question

please do it step by step....​

Answer 1

Answer:

$\frac{ {5}^{ - 3} \times {3}^{ - 5} \times {2}^{ - 5} \times {3}^{4} \times {2}^{2} }{{3}^{ - 7} \times {5}^{ - 3} \times {2}^{ - 3} } = \frac{ {5}^{ - 3} \times {3 }^{ - 1} \times {2}^{ - 3} }{{3}^{ - 7} \times {5}^{ - 3} \times {2}^{ - 3} } = {3}^{6} = 729$

Answer 2

Answer:

$\sf \dfrac{5^{-3} \times 6^{-5} \times 81 \times 4}{3^{-7} \times 10^{-3}} = 729$

Step-by-step explanation:

:$\implies \sf \dfrac{5^{-3} \times 6^{-5} \times 81 \times 4}{3^{-7} \times 10^{-3}}$

:$\implies \sf \dfrac{5^{-3} \times 6^{-5} \times 3^4 \times 4}{3^{-7} \times 10^{-3}}$

:$\implies \sf \dfrac{5^{-3} \times 6^{-5} \times 3^4 \times 2^2}{3^{-7} \times 2^{-3} \times 5^{-3}}$

:$\implies \sf \dfrac{6^{-5} \times 3^{11} \times 2^2}{2^{-3}}$

:$\implies \sf 6^{-5} \times 3^{11} \times 2^5$

:$\implies \sf \dfrac{1}{6^5} \times 3^{11} \times 2^5$

:$\implies \sf \dfrac{1}{2^5 \times 3^5} \times 3^{11} \times 2^5$

:$\implies \sf \dfrac{1}{3^5} \times 3^{11}$

:$\implies \sf 3^6$

:$\implies \sf 729$