Mathematics
OpenStudy (anonymous):

Simplify the following expression, and rewrite it in an equivalent form with positive exponents. -11x^4y^-2/55x^-5y^-1

OpenStudy (pfenn1):

$\frac{-11x^4y^{-2}}{55x^{-5}y^{-1}}$Remember $x^{-a}=\frac{1}{x^a}$

OpenStudy (pfenn1):

$\frac {x^4}{x^{-5}}=x^4x^5=x^9$$-\frac{11}{55}=-\frac15$$\frac{y^{-2}}{y^{-1}}=\frac{y}{y^2}=\frac 1y$So$\frac{-11x^4y^{-2}}{55x^{-5}y^{-1}}=-\frac{x^9}{5y}$