## Introductory Algebra for College Students (7th Edition)

-$\frac{1}{3}$x$^{14}$
Divide the monomials by cancelling out common factors of the numbers and subtracting the exponents of variables. $\frac{-15x^{16}y^2}{45x^2y^2}$=-$\frac{15}{45}$x$^{(16-2)}$y$^{(2-2)}$=-$\frac{1}{3}$x$^{14}$y$^0$=-$\frac{1}{3}$x$^{14}$ Check the answer 45x$^2$y$^2$(-$\frac{1}{3}$x$^{14}$)=-$\frac{45}{3}$x$^{(2+14)}$y$^2$=-15x$^{16}$y$^2$