C2 indicies

Hello everybody

I'd be really grateful if someone could help me a little with this question.

1)Write $\sqrt 2$ as a power of 2. So I did $2^\frac{1}{2}$

The second part of the question is where I get a little stuck:
2)"Hence write $4\sqrt 2$ as a power of 2.

So I went back to $2^\frac{1}{2}$ but with the multiple of 4, so $4 \times 2^\frac{1}{2}$ giving $8^{\frac{1}{2}}$ & then to make this have a base of 2 $(8^\frac{1}{3})^{\frac{1}{2}}$ adding the third and a half a got 5/6 so $2^\frac{5}{6}$...but this is the wrong answer. I'd be grateful if anyone could help me out a little!

Thanks
Marc

$4 \times 2^\frac{1}{2}$ giving $8^{\frac{1}{2}}$

Just to make things clear

This is the line that mad Mr M cry - can you see what you have done wrong

Mad?

Just to make things clear

This is the line that made Mr M cry - can you see what you have done wrong

Yes I can $2^2 \times 2^{\frac{1}{2}} = 2^{\frac{5}{2}}$

Thanks guys. Mr M, please don't be mad at me Indices

Mr M & TenOfThem, thanks very much. My first thread!