Shorten $\frac{n}{n^\frac{1}{2}}$?

Question

I have a short question to solve my problem.

Can I simplify $\frac{n}{n^\frac{1}{2}}$ ?

Thanks already for answers.

You can either rewrite as $\frac{n^{\frac12}n^{\frac12}}{n^{\frac12}}$ and cancel, or use exponent rules: $\frac n{n^{\frac12}}=n^1\cdot n^{-\frac12}=n^{1-\frac12}=n^{\frac12}$ — Hagen von Eitzen, Feb 05 '15 at 09:08

score 2 · Accepted Answer · answered Feb 05 '15 at 09:08

2

Assuming $n\ne 0$,

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

answered Feb 05 '15 at 09:08

JRN

1 Answers1