# How do you simplify (3x^3y^-1z^-1)/(x^-4y^0z^0) and write it using only positive exponents?

May 12, 2017

:.color(brown)(=(3x^7)/(yz)

#### Explanation:

$\frac{3 {x}^{3} {y}^{-} 1 {z}^{-} 1}{{x}^{-} 4 {y}^{0} {z}^{0}}$

$\therefore = \frac{3 {x}^{3 + 4}}{{y}^{0 + 1} {z}^{0 + 1}}$

$\therefore = \frac{3 {x}^{7}}{{y}^{1} {z}^{1}}$

:.color(brown)(=(3x^7)/(yz)