# How do you simplify (3x^2y^2)/(2x^-1*4yx^2) and write it using only positive exponents?

May 21, 2018

$\frac{3}{8} x y$
$\frac{3 {x}^{2} {y}^{2}}{\left(\frac{2}{x}\right) \cdot 4 \cdot {x}^{2} \cdot y}$
Cancelling $x$ in the denominator:
$\frac{3 {x}^{2} {y}^{2}}{8 x y}$
Cancelling $x y$ in the numerator:
$\frac{3}{8} x y$