Question

Simplify:(32/243)raised to the power -4/5​

Answer 1

Answer:

$( { \frac{32}{243} })^{ - \frac{ 4}{5} } = ({ \frac{243}{32} })^{\frac{ 4}{5}} \\ = ({ \frac{ {3}^{5} }{ {2}^{5} } })^{\frac{ 4}{5}} = \frac{ {3}^{5 \times \frac{4}{5} } }{ {2}^{5 \times \frac{4}{5} } } = \frac{ {3}^{4} }{ {2}^{4} } = \frac{81}{16}$