Simplify (y^-5)^-10y^10

${(y^{- 5})}^{- 10} y^{10}$

Step 1

Multiply the exponents in ${(y^{- 5})}^{- 10}$ .

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

$y^{- 5 \cdot - 10} y^{10}$

Multiply $- 5$ by $- 10$ .

$y^{50} y^{10}$

Step 2

Multiply $y^{50}$ by $y^{10}$ by adding the exponents.

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$y^{50 + 10}$

Add $50$ and $10$ .

$y^{60}$