Simplify (-1/27)^(-1/3)

${(- \frac{1}{27})}^{\frac{- 1}{3}}$

Move the negative in front of the fraction.

${(- \frac{1}{27})}^{- \frac{1}{3}}$

Change the sign of the exponent by rewriting the base as its reciprocal.

${(- 27)}^{\frac{1}{3}}$

Simplify the expression.

Rewrite $- 27$ as ${(- 3)}^{3}$ .

${({(- 3)}^{3})}^{\frac{1}{3}}$

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

${(- 3)}^{3 (\frac{1}{3})}$

Cancel the common factor of $3$ .

Cancel the common factor.

${(- 3)}^{3 (\frac{1}{3})}$

Rewrite the expression.

${(- 3)}^{1}$

Evaluate the exponent.

$- 3$