Calculus Examples

${(x^{- \frac{1}{3}})}^{2}$

Step 1

Multiply the exponents in ${(x^{- \frac{1}{3}})}^{2}$ .

Tap for more steps...

Step 1.1

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

$x^{- \frac{1}{3} \cdot 2}$

Step 1.2

Multiply $- \frac{1}{3} \cdot 2$ .

Tap for more steps...

Step 1.2.1

Multiply $2$ by $- 1$ .

$x^{- 2 (\frac{1}{3})}$

Step 1.2.2

Combine $- 2$ and $\frac{1}{3}$ .

$x^{\frac{- 2}{3}}$

Step 1.3

Move the negative in front of the fraction.

$x^{- \frac{2}{3}}$

Step 2

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

$\frac{1}{x^{\frac{2}{3}}}$