Question

Write the fraction in simplest form.

$\frac{a^3{b}^2{c}^2}{b{c}^2}$

Short answer

The simplest form of $\frac{a^3{b}^2{c}^2}{b{c}^2}$ is$a^{3}b$.

Step-by-step solution

.Given

The given fraction is$\frac{a^3{b}^2{c}^2}{b{c}^2}$ .

. To determine

We have to convert the fraction in the simplest form

. Calculation

We factor the numerator and denominator completely. Then we cancel the common terms.

$\begin{array}{c}\frac{a^3{b}^2{c}^2}{b{c}^2}=\frac{a\cdot a\cdot a\cdot b\cdot b\cdot c\cdot c}{b\cdot c\cdot c}\\ {\text{=a}}^3\text{b}\end{array}$

So, the simplest form of $\frac{a^3{b}^2{c}^2}{b{c}^2}$ is$a^{3}b$.