Simplify (y^(-1/5))^(-1/3)

${(y^{\frac{- 1}{5}})}^{\frac{- 1}{3}}$

Step 1

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

$y^{\frac{- 1}{5} \cdot \frac{- 1}{3}}$

Step 2

Move the negative in front of the fraction.

$y^{- \frac{1}{5} \cdot \frac{- 1}{3}}$

Step 3

Move the negative in front of the fraction.

$y^{- \frac{1}{5} (- \frac{1}{3})}$

Step 4

Multiply $- \frac{1}{5} (- \frac{1}{3})$ .

Multiply $- 1$ by $- 1$ .

$y^{1 (\frac{1}{5}) \frac{1}{3}}$

Multiply $\frac{1}{5}$ by $1$ .

$y^{\frac{1}{5} \cdot \frac{1}{3}}$

Multiply $\frac{1}{5}$ by $\frac{1}{3}$ .

$y^{\frac{1}{5 \cdot 3}}$

Multiply $5$ by $3$ .

$y^{\frac{1}{15}}$