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

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

Step 1

Multiply $x^{7}$ by $x^{8}$ by adding the exponents.

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

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

Add $7$ and $8$ .

$\frac{y^{- 7}}{x^{15} y^{- 7}}$

Step 2

Cancel the common factor of $y^{- 7}$ .

Cancel the common factor.

$\frac{y^{- 7}}{x^{15} y^{- 7}}$

Rewrite the expression.

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