Question

$64 \times 9 {}^{2} \times 25 {}^{3} \div 3 {}^{2} \times 4 {}^{2} \times 15 {}^{6}$
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Answer 1

Step-by-step explanation:

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$\frac{64 \times {9}^{2} \times {25}^{3} }{ {3}^{2} \times {4}^{2} \times {15}^{6} }$

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$\implies \frac{64 \times {9}^{2} \times {25}^{3} }{ {3}^{2} \times {4}^{2} \times {15}^{6} } \\ \implies \frac{ \cancel 64 \times \cancel{ 9 \times 9} \times \cancel{25 \times 25 \times 25}}{ \cancel{3 \times 3} \times \cancel{4 \times 4} \times \cancel{15 \times 15 \times 15 }\times 15 \times 15 \times 15} \\ \implies \frac{4 \times \cancel9 \times \cancel{5 \times 5 \times 5}}{3 \cancel{ \times 3 \times 3} \times \cancel{15 \times 15 \times 15}} \\ \implies \frac{4}{3 \times 3 \times 3 \times 3} \\ \implies \frac{4}{81}$