Question

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Answer 1

Step-by-step explanation:

${ \frac{25^{\frac{3}{2}}×243^{\frac{3}{5}}}{16^{\frac{5}{4}}×8^{\frac{4}{3}}}} \\ = \frac{( { {5}^{2} })^{ \frac{3}{2} } \times {( {3}^{5} )}^{ \frac{3}{5} } }{ {( {2}^{4} )}^{ \frac{5}{4} } \times ({{2}^{3})}^{ \frac{4}{3} } } \\ = \frac{ {5}^{3} \times {3}^{3} }{ {2}^{5} \times {2}^{4} } \\ = \frac{ {5}^{3} \times {3}^{3} }{ {2}^{5 + 4} } \\ = \frac{ {(5 \times 3)}^{3} }{ {2}^{9} } \\ = \frac{ {15}^{3} }{ {2}^{9} } \\ = {\boxed{\pink{\frac{3375}{512}}}}</p><p>$

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