# How do you simplify 4x ^ { 3} \cdot 5x ^ { 4} \cdot x ^ { 4}?

Nov 14, 2017

Since we are multiplying the same variable $\left(x\right)$, we need to multiply the integers and add the exponents.

$4 {x}^{3} \cdot 5 {x}^{4} \cdot {x}^{4} = 20 {x}^{11}$

#### Explanation:

The $4 \mathmr{and} 5$ multiply to give us $20$.

The exponents of $x$ add up to give us $3 + 4 + 4 = 11$

So, $4 {x}^{3} \cdot 5 {x}^{4} \cdot {x}^{4} = 20 {x}^{11}$