Question

the simplified from of (243)-¹/⁵ is a​

Answer 1

Answer:

$given \: that \: \: (243) ^{ - \frac{1}{5} } \\ \: 243 \: can \: be \: ritten \: as \: 3 \times 3 \times 3 \times 3 \times 3 = {3}^{5} \\ \: = > (243)^{ \frac{ - 1}{5} } = (3 ^{5} )^{ \frac{ - 1}{5} } \\ \: = > (3)^{5 \times \frac{ - 1}{5} } \\ \: we \: know \: that \: ( {a}^{m})^n \: = {a}^{mn} \\ \: = > 3 ^{ - 1} \\ \: = > \frac{1}{3} \\ (since \: \: {a}^{ - n} = \frac{1}{ {a}^{n} } )$