Question

Simplify: $\frac{2^3 \times 3^2 \times 5^4}{3^3 \times 5^2 \times 2^4}$

Answer 1

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Answer 2

Solution:

$\frac{2^3 \times 3^2 \times 5^4}{3^3 \times 5^2 \times 2^4} \\ \\ = 2^3 \times 3^2 \times 5^4 \times 3^ {- 3} \times 5^{ - 2} \times 2^{ - 4} \\ \\ = {2}^{3 - 4} \times {3}^{2 - 3} \times {5}^{4 - 2} \\ \\ = {2}^{ - 1} \times {3}^{ - 1} \times {5}^{2} \\ \\ = \frac{ {5}^{2} }{2 \times 3} \\ \\ = \frac{25}{6}$

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