Question

Simplify: 81×64 ÷ 32 × 3 to the power 6 × 5 to the power 2

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Answer 1

$81 \times 64 \div 32 \times {3}^{6} \times {5}^{2} \\ \\ \frac{81 \times 64}{ {5}^{5} \times {3}^{6} \times {5}^{2} } \\ \\ \frac{ {3}^{4} \times {2}^{6} }{ {2}^{5} \times {3}^{6} \times 25} \\ \\ \frac{ {3}^{ - 2} \times 2}{25} \\ \\ \frac{2}{9 \times 25} = \frac{2}{225} = 0.00888888888 \infty$