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

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Answer 1 · 2017-02-05T07:46:41

$2x^(3/2)$

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:

$2x^(3/2)$

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