Converting Series for Comparison Test

[uzman1243]

I'm trying to find if this series converges or diverges using the comparison test:

and the answer goes:

My problem is, I am not sure how to go from 1/2^(n+1) to 1/2(1/2)^n.

can you please explain that to me

 

[Matterwave]

$$\frac{1}{2^{n+1}}=\frac{1}{2\cdot 2^n}=\frac{1}{2}\frac{1}{2^n}=\frac{1}{2}\left(\frac{1}{2}\right)^n$$