Simplify (y^3)/(x^-1x^8y^3)

$\frac{y^{3}}{x^{- 1} x^{8} y^{3}}$

Multiply $x^{- 1}$ by $x^{8}$ by adding the exponents.

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

$\frac{y^{3}}{x^{- 1 + 8} y^{3}}$

Add $- 1$ and $8$ .

$\frac{y^{3}}{x^{7} y^{3}}$

Cancel the common factor of $y^{3}$ .

Cancel the common factor.

$\frac{y^{3}}{x^{7} y^{3}}$

Rewrite the expression.

$\frac{1}{x^{7}}$