# Simple question on Dimensional Analysis

1. Jan 30, 2016

### Byeongok

1. The problem statement, all variables and given/known data
Hello, I am new to physics and i was wondering what i should do for the following equation to simplify it.

2. Relevant equations
[T]-2/[T]

3. The attempt at a solution
I tried

1/[T]3
Which I'm not sure is possible when dimensional analyzing.

EDIT: Is it
[T]-3

2. Jan 30, 2016

### cnh1995

yes.

3. Jan 30, 2016

### BOAS

If you recall that $x^{\alpha} x^{\beta} = x^{\alpha + \beta}$ and that $\frac{1}{[T]} = [T]^{-1}$, we can see that your answer is correct.

We have $\frac{1}{[T]^{2}} \frac{1}{[T]} = [T]^{-2 + -1} = [T]^{-3}$