# Math Help - Simplification

1. ## Simplification

Hi!

Can the following function be simplified any further?

[(2^0.5)(N^-0.5)]/2

If the - wasn't around i know it would simplify to (1/2)(sqrt(2N)), but I forget if there is a rule for this...

Thanks!
Lisa

2. You've got:

$\frac{2^\frac{1}{2}}{2 \times n^ \frac{1}{2}}$ right now (moving the negative exponent to the denominator and making it positive.)

$\frac{2^\frac{1}{2}}{2}$ simplifies to $\frac{1}{2^\frac{1}{2}}$ (by subtracting the exponents of powers with the same bases).

This gives, essentially, $\frac{1}{\sqrt{2n}}$.

3. I guess I had forgotten (or quite possibly never knew) that N^(-0.5) was the same thing as 1/(N^0.5).
$4^{-2} = \frac{1}{4^2}$
$\frac{1}{4^{-2}} = 4^2$.