# How do you find the quotient of (r^4g^2h)/(x^2y)divf^3g?

Apr 23, 2017

color(green)((r^4gh)/(f^3x^2y)

#### Explanation:

$\frac{{r}^{4} {g}^{2} h}{{x}^{2} y} \div {f}^{3} g$

$\therefore = \frac{{r}^{4} {g}^{2} h}{{x}^{2} y} \times \frac{1}{{f}^{3} g}$

$\therefore = \frac{{r}^{4} {g}^{2 - 1} h}{{x}^{2} y} \times \frac{1}{f} ^ 3$

$\therefore = \frac{{r}^{4} g h}{{x}^{2} y} \times \frac{1}{f} ^ 3$

:.color(green)(=(r^4gh)/(f^3x^2y)