Algebra Examples

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

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

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Step 4.1

Multiply $- 1$ by $- 1$ .

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

Step 4.2

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

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

Step 4.3

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

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

Step 4.4

Multiply $5$ by $3$ .

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