Question

Simplify (25)^3/2×(343)^1/5 /16^5/4 ×8^4/3 ×7^3/5

Answer 1

$\frac{ {(25)}^{ \frac{3}{2} } \times {(343)}^{ \frac{1}{5} } }{ {(16)}^{ \frac{5}{4} } \times {(8)}^{ \frac{4}{3} } \times {(7)}^{ \frac{3}{5} } } \\ \\ = \frac{(5)^{2 \times \frac{3}{2} } \times {(7)}^{3 \times \frac{1}{5} } }{ {(2)}^{4 \times \frac{5}{4} } \times {(2)}^{3 \times \frac{4}{3} } \times {(7)}^{ \frac{3}{5} } } \\ \\ = \frac{ {(5)}^{3} \times {(7)}^{ \frac{3}{5} } }{ {(2)}^{5} \times {(2)}^{4} \times {(7)}^{ \frac{3}{5} } } \\ \\ = \frac{ {(5)}^{3} }{ {(2)}^{5} \times {(2)}^{4} } \\ \\ = \frac{ {(5)}^{3} }{ {(2)}^{5 + 4} } \\ \\ = \frac{ {(5)}^{3} }{ {(2)}^{9} } \\ \\ = \frac{125}{512}$

Hope it helps.....

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