Question

evaluate( 32/243 ) -⁴/⁵​

Answer 1

Answer:

${ (\frac{32}{243} )}^{ \frac{ - 4}{5} } \\ = { (\frac{2 \times 2 \times 2 \times 2 \times 2}{3 \times 3 \times 3 \times 3 \times 3} )}^{ \frac{ - 4}{5} } \\ = \frac{ {2}^{(5 \times \frac{ - 4}{5}) } }{ {3}^{(5 \times \frac{ - 4}{5}) } } \\ = \frac{ {2}^{( - 4)} }{ {3}^{ (- 4)} } \\ = \frac{ {3}^{4} }{ {2}^{4} } \\ = \frac{81}{16} \\ = 5 \frac{1}{16} (answer)$