Which operations are physically meaningful with dimensionally different quantities?

[FAJISTE]

Homework Statement

X and Y are dimensionally different. (They have different units.) Select ALL the physically meaningful operations. State which are true or false
1. X/Y or X*Y
2. X+Y or X-Y
3. e^(X/Y) or e^(X+Y)
4. X^2 +Y^2 or X^X + Y^Y
5. X^2 or Y^2
6. X^(1/3) or Y^(1/3)

Homework Equations

The Attempt at a Solution

I'm assuming

1. True because you could have like velocity/second, etc.
2. False, you can't add apples and oranges
3. False no idea though
4. False
5. True
6. True

An explanation along with the correct answers would be greatly appreciated.

 

[rock.freak667]

1. True because you could have like velocity/second, etc.
2. False, you can't add apples and oranges
3. False no idea though
4. False
5. True
6. True

I believe you have all correct so far.

For 3, I don't think it is possible to raise a constant to the power of a quanity.
Else it'd be like saying 2^(4 kilograms) or e^(2 Newtons), it is physically meaningless.

 

[FAJISTE]

thanks a lot, if I could just have a complete confirmation since I only have one last try to get it right in the computer

 

[FAJISTE]

N/m i was right, thanks for the confirm tho