Basic Math Examples

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

Step 1

Simplify the expression.

Tap for more steps...

Step 1.1

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

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

Step 1.2

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

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

Step 2

Cancel the common factor of $3$ .

Tap for more steps...

Step 2.1

Cancel the common factor.

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

Step 2.2

Rewrite the expression.

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

Step 3

Evaluate the exponent.

$- 3$