# How do you simplify \frac { 3} { 21x ^ { 2} } \cdot 24x ^ { 3}?

Nov 28, 2017

$\frac{24 x}{7}$

#### Explanation:

Given: $\frac{3}{21 {x}^{2}} \cdot 24 {x}^{3}$

We begin by cancelling the like terms, that is;
$\frac{\cancel{3}}{\cancel{21} \cancel{{x}^{2}}} \cdot 24 \cancel{{x}^{3}} = \frac{\textcolor{red}{24} \textcolor{red}{x}}{\textcolor{red}{7}}$

Nov 28, 2017

$\frac{24 x}{7}$

#### Explanation:

$\frac{3}{21 {x}^{2}} \times \frac{24 {x}^{3}}{1}$

$\textcolor{b l u e}{\text{cancel common factors ""on numerator/denominator}}$

${\cancel{3}}^{1} / \left({\cancel{21}}^{7} \times \cancel{x} \times \cancel{x}\right) \times \frac{24 \times \cancel{x} \times \cancel{x} \times x}{1}$

$= \frac{24 x}{7}$