Question

(9^1.5×〖64〗^(1/3))/(4^2×〖243〗^((-2)/5) )

Answer 1

$\frac{ {9}^{1.5} \times {64}^{ \frac{1}{3} } }{ {4}^{2} \times {243}^{ - \frac{2}{5} } } \\ \frac{ {3}^{(2 \times 1.5)} \times \sqrt[3]{64} }{ {4}^{2} \times {( \sqrt[5]{243}) }^{ - 2} } \\ \frac{ {3}^{3.0} \times 4}{ {4}^{2} \times {3}^{ - 2} } \\ {3}^{3 + 2} \times {4}^{1 - 2} \\ {3}^{5} \times {4}^{ - 1} \\ \frac{ {3}^{5} }{ {4}^{ } } \\ \frac{243}{4}$