Evaluate (x^8x^-4)/(y^5y^6)

$\frac{x^{8} x^{- 4}}{y^{5} y^{6}}$

Step 1

Multiply $x^{8}$ by $x^{- 4}$ by adding the exponents.

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

$\frac{x^{8 - 4}}{y^{5} y^{6}}$

Subtract $4$ from $8$ .

$\frac{x^{4}}{y^{5} y^{6}}$

Step 2

Multiply $y^{5}$ by $y^{6}$ by adding the exponents.

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

$\frac{x^{4}}{y^{5 + 6}}$

Add $5$ and $6$ .

$\frac{x^{4}}{y^{11}}$