Simplify (x^14y^-2)/(x^8)

$\frac{x^{14} y^{- 2}}{x^{8}}$

Move $y^{- 2}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{x^{14}}{x^{8} y^{2}}$

Cancel the common factor of $x^{14}$ and $x^{8}$ .

Factor $x^{8}$ out of $x^{14}$ .

$\frac{x^{8} x^{6}}{x^{8} y^{2}}$

Cancel the common factors.

Factor $x^{8}$ out of $x^{8} y^{2}$ .

$\frac{x^{8} x^{6}}{x^{8} (y^{2})}$

Cancel the common factor.

$\frac{x^{8} x^{6}}{x^{8} y^{2}}$

Rewrite the expression.

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