Simplify ((x^-11)(x^6))/(y^-2)

$\frac{(x^{- 11}) (x^{6})}{y^{- 2}}$

Multiply $x^{- 11}$ by $x^{6}$ by adding the exponents.

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

$\frac{x^{- 11 + 6}}{y^{- 2}}$

Add $- 11$ and $6$ .

$\frac{x^{- 5}}{y^{- 2}}$

Move $x^{- 5}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{y^{- 2} x^{5}}$

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

$\frac{y^{2}}{x^{5}}$