Question

${15}^2 \times {8}^2 \times 40 \div ( {3}^2 \times 4^5 \times 5)$
Find the value​

Answer 1

$: \implies {15}^2 \times {8}^2 \times 40 \div ( {3}^2 \times 4^5 \times 5) \\ \\ : \implies \frac{ {15}^{2} \times {8}^{2} \times 40 }{ {3}^{2} \times {4}^{2} \times 5 } \\ \\ : \implies \frac{ {(3 \times 5)}^{2} \times {(4 \times 2)}^{2} \times 40}{ {3}^{2} \times {4}^{2} \times 5} \\ \\ : \implies \frac{ {3}^{2} \times {5}^{2} \times {4}^{2} \times {2}^{2} \times 40}{ {3}^{2} \times {4}^{2} \times 5} \\ \\ : \implies {3}^{2 - 2} \times {5}^{2 - 1} \times {4}^{2 - 2} \times 4 \times 40 \\ \\: \implies {3}^{0} \times {5}^{1} \times {4}^{0} \times 160 \\ \\ : \implies 1 \times 5 \times 1 \times 160 \\ \\ : \implies 800 \: or \: {5}^{2} \times {2}^{5}$

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