Question

How do you simplify `-243^(-4/5)`?

Answer 1

`- 243^(-4/5)`

`color(blue)(243 = 3^5`

so,

`-3^(cancel5.-4/cancel5)`

`= - 3^-4`

we know `color(blue)( x^-1 = 1/x`

so `- 3^-4 = 1/(-3)^4`

`= color(blue)(1/81`