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

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

$- 27$