Write with Rational (Fractional) Exponents ( ninth root of v)^-1

${(\sqrt[9]{v})}^{- 1}$

Step 1

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt[9]{v}$ as $v^{\frac{1}{9}}$ .

${(v^{\frac{1}{9}})}^{- 1}$

Step 2

Multiply the exponents in ${(v^{\frac{1}{9}})}^{- 1}$ .

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

$v^{\frac{1}{9} \cdot - 1}$

Combine $\frac{1}{9}$ and $- 1$ .

$v^{\frac{- 1}{9}}$

Move the negative in front of the fraction.

$v^{- \frac{1}{9}}$