Algebra Examples

${(x^{- \frac{1}{3}})}^{- \frac{1}{6}}$

Step 1

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

$x^{- \frac{1}{3} (- \frac{1}{6})}$

Step 2

Multiply $- \frac{1}{3} (- \frac{1}{6})$ .

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Step 2.1

Multiply $- 1$ by $- 1$ .

$x^{1 (\frac{1}{3}) \frac{1}{6}}$

Step 2.2

Multiply $\frac{1}{3}$ by $1$ .

$x^{\frac{1}{3} \cdot \frac{1}{6}}$

Step 2.3

Multiply $\frac{1}{3}$ by $\frac{1}{6}$ .

$x^{\frac{1}{3 \cdot 6}}$

Step 2.4

Multiply $3$ by $6$ .

$x^{\frac{1}{18}}$