Evaluate (x^-5y^4y^7)/(x^-5)

$\frac{x^{- 5} y^{4} y^{7}}{x^{- 5}}$

Step 1

Multiply $y^{4}$ by $y^{7}$ by adding the exponents.

Move $y^{7}$ .

$\frac{x^{- 5} (y^{7} y^{4})}{x^{- 5}}$

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

$\frac{x^{- 5} y^{7 + 4}}{x^{- 5}}$

Add $7$ and $4$ .

$\frac{x^{- 5} y^{11}}{x^{- 5}}$

Step 2

Cancel the common factor of $x^{- 5}$ .

Cancel the common factor.

$\frac{x^{- 5} y^{11}}{x^{- 5}}$

Divide $y^{11}$ by $1$ .

$y^{11}$