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

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

Step 1

Multiply the exponents in ${(x^{- 3})}^{\frac{1}{3}}$ .

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

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

Cancel the common factor of $3$ .

Factor $3$ out of $- 3$ .

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

Cancel the common factor.

$x^{3 \cdot - 1 \frac{1}{3}}$

Rewrite the expression.

$x^{- 1}$

Step 2

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{x}$