Question

Can someone tell me how they get the 10^(3/4)? (Comments)

Answer 1

It's easiest to see that if you view \(10\) as \(10^{2/2}\) and \(\sqrt{10}\) as \(10^{1/2}\). Then\[10\sqrt{10}=10^{2/2}10^{1/2}=10^{3/2}.\] Once you have that, take the square root again to get
\[(10^{3/2})^{1/2}=10^{3/4}\]

Answer 2

Did that help you?

Answer 3

It very much did, long live you, George!

Answer 4

You're welcome.