# How do you simplify (4x^2)/(2x^(1/2))?

$2 {x}^{\frac{3}{2}}$

#### Explanation:

(4x^2)/(2x^(1/2)

I'm going to first break this down so that we have constants in one fraction and $x$ terms in the other:

$\left(\frac{4}{2}\right) \left({x}^{2} / {x}^{\frac{1}{2}}\right)$

Let's do $\frac{4}{2}$ first - it's $\frac{4}{2} = 2$

Now let's do the $x$ terms. We can use ${x}^{a} \div {x}^{b} = {x}^{a - b}$ to write our fraction as:

${x}^{2} \div {x}^{\frac{1}{2}} = {x}^{2 - \frac{1}{2}} = {x}^{\frac{3}{2}}$

Putting it all together, we get:

$2 {x}^{\frac{3}{2}}$