# Simple Exponent Transformation/simplification

• Mar 29th 2011, 10:02 AM
dumluck
Simple Exponent Transformation/simplification
Hi All,
Perhaps I'm over-tired but I was wondering if you could help with the below.

$(\sqrt[20]{2})^{10}$

Would this translate to

$\sqrt{2}^{\frac{20}{10}}$ and ultimately $\sqrt{2}^2$?

I'm confused by a question I'm doing that lists
$\sqrt{2}$
as the simplification of $(\sqrt[20]{2})^{10}$

D
• Mar 29th 2011, 10:06 AM
Plato
Quote:

Originally Posted by dumluck
$(\sqrt[20]{2})^{10}$
Would this translate to $\sqrt{2}^{\frac{20}{10}}$ WRONG!

It should be $2^{\frac{10}{20}}$.
• Mar 29th 2011, 10:16 AM
dumluck
Quote:

Originally Posted by Plato
It should be $2^{\frac{10}{20}}$.

Thanks Plato. Good point so that would be $2^{\frac{1}{2}$ and ultimately $\sqrt{2}$ Brilliant thanks.