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Simple question on Dimensional Analysis

  • Thread starter Byeongok
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  • #1
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Homework Statement


Hello, I am new to physics and i was wondering what i should do for the following equation to simplify it.

Homework Equations


[T]-2/[T]

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
 

Answers and Replies

  • #2
cnh1995
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  • #3
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Homework Statement


Hello, I am new to physics and i was wondering what i should do for the following equation to simplify it.

Homework Equations


[T]-2/[T]

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
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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