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Simple question on Dimensional Analysis

  1. Jan 30, 2016 #1
    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. jcsd
  3. Jan 30, 2016 #2

    cnh1995

    User Avatar
    Homework Helper

    yes.
     
  4. Jan 30, 2016 #3
    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}##
     
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