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

1 Answer

2x^(3/2)

Explanation:

Start with

(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:

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

Let's do 4/2 first - it's 4/2=2

Now let's do the x terms. We can use x^a -: x^b=x^(a-b) to write our fraction as:

x^2 -: x^(1/2)=x^(2-1/2)=x^(3/2)

Putting it all together, we get:

2x^(3/2)