# Thread: cancellation & simplification

1. ## cancellation & simplification

Hello,

Can someone please help me with the steps to simplify this problem?

$\displaystyle (12(x+4)^2) / (2 sqrt(4(x+4)^3)$

I'm a bit confuse at the process.

Thanks
-Mark

2. Originally Posted by l flipboi l
Hello,

Can someone please help me with the steps to simplify this problem?

$\displaystyle (12(x+4)^2) / (2 sqrt(4(x+4)^3)$

I'm a bit confuse at the process.

Thanks
-Mark
Hi is this the question?

$\displaystyle \frac{12(x+4)^2}{2\sqrt{4(x+4)^3}}$

if so remember that $\displaystyle \sqrt{xy}=\sqrt{x}\sqrt{y}$ and that

$\displaystyle \sqrt[a]{x^b}=x^{\frac{b}{a}}$

Using these two properties we can simplify the denominator to get

$\displaystyle 2\sqrt{4(x+4)^3}=2\sqrt{4}\sqrt{(x+4)^3}=2\cdot 2 \cdot (x+4)^{\frac{3}{2}}$

Just keep on simplifying

3. Ahh thats what I was missing, I forgot the properties.

Thanks!