Question

plz simplify this using laws of exponents ​

Answer 1

$= = > \: \: \frac{ {(25)}^{ \frac{3}{2} } \times {(243)}^{ \frac{3}{5} } }{ {(16)}^{ \frac{5}{4} } \times {(8)}^{ \frac{4}{3} } } \\ \\ = = > \: \: \frac{ {5}^{ \cancel{2} \times \frac{3}{ \cancel{2}} } \times {3}^{ \cancel{5} \times \frac{3}{ \cancel{5}} } }{ {2}^{ \cancel{4} \times \frac{5}{ \cancel{4}} } \times {2}^{ \cancel{3} \times \frac{4}{ \cancel{3}} } } \\ \\ = = > \: \: \frac{ {5}^{3} \times {3}^{3} }{ {2}^{5} \times {2}^{4} } \\ \\ = = > \: \: \frac{ {15}^{3} }{ {2}^{9} } \\ \\ = = > \: \: \frac{3375}{512}$