Evaluate (y^8)/(x^-3x^7y^6)

$\frac{y^{8}}{x^{- 3} x^{7} y^{6}}$

Step 1

Multiply $x^{- 3}$ by $x^{7}$ by adding the exponents.

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

$\frac{y^{8}}{x^{- 3 + 7} y^{6}}$

Add $- 3$ and $7$ .

$\frac{y^{8}}{x^{4} y^{6}}$

Step 2

Cancel the common factor of $y^{8}$ and $y^{6}$ .

Factor $y^{6}$ out of $y^{8}$ .

$\frac{y^{6} y^{2}}{x^{4} y^{6}}$

Cancel the common factors.

Factor $y^{6}$ out of $x^{4} y^{6}$ .

$\frac{y^{6} y^{2}}{y^{6} x^{4}}$

Cancel the common factor.

$\frac{y^{6} y^{2}}{y^{6} x^{4}}$

Rewrite the expression.

$\frac{y^{2}}{x^{4}}$