Exponential Problem: Finding Exponents in a Tricky Equation

[iconwin]

Can anyone help me with this problem?

Homework Statement

Supposed A=BⁿC^m, where A has dimensions LT, B has dimensions L²T^-1, and C has dimensions LT². Then the exponents n and m have the values:

a. 2/3; 1/3
b. 2; 3
c. 4/5; 3/5
d. 1/5; 3/5

Homework Equations

N/A

The Attempt at a Solution

Tried to set up the equation as below:
since:
A=BⁿC^m
so,
LT= L²T^-1*LT²
I don't know what to do next?

 

[cristo]

You didn't set your equation up correctly. If B has dimensions L²T^-1, then B^m has dimension (L²T^-1)^m.

 

[iconwin]

Oh, I found the answer! It's (d). I just have to try to substitute each choice into the equation to find the right answer. ^^Thanks a lot.

 

[Mark44]

But what if this were a problem on a test, and you weren't give the answer? Your technique wouldn't help you any. Cristo has given you a good start.

 

[iconwin]

hihihi. Yes, he you're right! However, I thought, if they don't give us the answer,they will at least give us the value of either n or m, or the ratio b/t these two variables in order to solve the equation. Thanks for your comment, Mark. You have a nice day!

 

[HallsofIvy]

The question is do you know how, by following cristo's comment, to find m and n even if you aren't given possible answers?

 

[iconwin]

Thank you all!

 

[HallsofIvy]

Do you understand that I asked a question?


You have not yet answered my question.