# How do you simplify (-5x^3y^2)/(20x^4y^2)?

Aug 31, 2016

$- \frac{1}{x}$

#### Explanation:

The numerator and denominator both consist of only one term.
We can simplify in the following way:

Simplify: the signs. ("How many negative signs are there?)
Simplify the numbers as for normal fractions
Simplify the variables - subtract indices of like bases.

$\frac{- \cancel{5} {x}^{3} {\cancel{\cancel{y}}}^{2}}{{\cancel{20}}^{4} {x}^{4} {\cancel{y}}^{2}}$

=-(x^3)/(4x^4

=$- \frac{1}{x}$