Evaluate -(-243)^(3/5)

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

Step 1

Simplify the expression.

Rewrite $- 243$ as ${(- 3)}^{5}$ .

$- {({(- 3)}^{5})}^{\frac{3}{5}}$

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$- {(- 3)}^{5 (\frac{3}{5})}$

Step 2

Cancel the common factor of $5$ .

Cancel the common factor.

$- {(- 3)}^{5 (\frac{3}{5})}$

Rewrite the expression.

$- {(- 3)}^{3}$

Step 3

Simplify the expression.

Raise $- 3$ to the power of $3$ .

$- - 27$

Multiply $- 1$ by $- 27$ .

$27$