Question

how to simplify (243)power -1/5

Answer 1

243=3^5
(243)^-1/5=(3^5)^-1/5=3^-1=1/3
The answer is 1/3

Answer 2

${243}^{ \frac{ - 1}{5} } \\ \\ = {( {3}^{5} )}^{ \frac{ - 1}{5} } \\ \\ = {3}^{(5)( \frac{ - 1}{5}) } \\ \\ = {3}^{ - 1} \\ \\ = \frac{1}{3}$