# Thread: Simple roots expression

1. ## Simple roots expression

Not sure how to solve this, the book just shows the answer and not how to solve it.

$\displaystyle 6x^2\sqrt{x}$

$\displaystyle 6x^{5/2}$

I though perhaps converting to a fraction would work...
$\displaystyle 6x^2 * x^{1/2}$ but thats incorrect it seems.

Thanks

2. Originally Posted by allyourbass2212
Not sure how to solve this, the book just shows the answer and not how to solve it.

$\displaystyle 6x^2\sqrt{x}$

$\displaystyle 6x^{5/2}$

I though perhaps converting to a fraction would work...
$\displaystyle 6x^2 * x^{1/2}$ but thats incorrect it seems.

Thanks

$\displaystyle 6x^2 \cdot x^{\frac{1}{2}}=6x^{2+\frac{1}{2}}=6x^{\frac{5}{2} }$

3. Originally Posted by allyourbass2212
Not sure how to solve this, the book just shows the answer and not how to solve it.

$\displaystyle 6x^2\sqrt{x}$

$\displaystyle 6x^{5/2}$
$\displaystyle 6x^2 * x^{1/2}$ but thats incorrect it seems.
$\displaystyle 6x^2 \sqrt{x}=6x^2 \cdot x^{1/2}=6x^{4/2} \cdot x^{1/2}=6x^{5/2}$
Just remember this: $\displaystyle x^a \cdot x^b=x^{a+b}$