# How do you simplify (-16a^2bc^4)/(8ab^2c^4)?

Apr 19, 2018

#(2a)/b

#### Explanation:

You have to subtract the exponent of each variable/number in denominator from the exponent in the numerator...
$- \frac{{2}^{4} \cdot {a}^{2} \cdot {b}^{1} \cdot {c}^{4}}{{2}^{3} \cdot {a}^{1} \cdot {b}^{2} \cdot {c}^{4}}$
-${2}^{4 - 3} \cdot {a}^{2 - 1} \cdot {b}^{1 - 2} \cdot {c}^{4 - 4}$
-${2}^{1} \cdot {a}^{1} \cdot {b}^{-} 1 \cdot {c}^{0}$ Simplify
$\frac{2 a}{b}$