How do you simplify $- 243^{- \frac{4}{5}}$ $-243^(-4/5)$ ?

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Answer 1 · 2015-05-30T03:27:41

$- 243^{- \frac{4}{5}}$ $- 243^(-4/5)$

$243 = 3^{5}$ $color(blue)(243 = 3^5$

so,

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

$= - 3^-4$

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

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

$= color(blue)(1/81$

How do you simplify -243^(-4/5)−243−45-243^(-4/5)?