# How do you simplify (15a^2b^2 )/(5ab)?

May 3, 2015

$\frac{15 {a}^{2} {b}^{2}}{5 a b}$

$= \frac{\left(5 a b\right) \left(3 a b\right)}{5 a b}$

$= 3 a b$

May 3, 2015

The answer is $3 a b$.

Simply $\frac{15 {a}^{2} {b}^{2}}{5 a b}$

Divide 15 by 5.

$\frac{15}{5} = 3$

Divide the exponents by subtracting the exponents in the denominator from the exponents in the numerator.

$3 {a}^{\left(2 - 1\right)} {b}^{\left(2 - 1\right)}$ =

$3 a b$