SOLUTION: If r^2s^-3t^1/2=0 which of the following CANNOT be true? I. r = 0 II. s = 0 III. t = 0 Options: I only II only III only I and III only II and III

Algebra ->  Functions -> SOLUTION: If r^2s^-3t^1/2=0 which of the following CANNOT be true? I. r = 0 II. s = 0 III. t = 0 Options: I only II only III only I and III only II and III       Log On


   

Question 955580: If r^2s^-3t^1/2=0 which of the following CANNOT be true?
I. r = 0
II. s = 0
III. t = 0
Options:
I only
II only
III only
I and III only
II and III only
Found 2 solutions by stanbon, MathLover1:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
If r^2s^-3t^1/2=0 which of the following CANNOT be true?
----
[r^2*sqrt(t)]/[2s^3]
-------------------------
I. r = 0---OK
---------------------
II. s = 0 {no; s is in the denominator]
-----------------------
III. t = 0-----OK
---------------------------
Cheers,
Stan H.
=================
Options:
I only
II only
III only
I and III only
II and III only

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
r%5E2s%5E%28-3%29t%5E%281%2F2%29=0
r%5E2%281%2Fs%5E3%29sqrt%28t%29=0 ...since s in denominator, we have to exclude s=0 because solution will be r%5E2%281%2F0%5E3%29sqrt%28t%29=infinity
so, solution will be 0 only if
r+=+0, s%3C%3E0
and
t+=+0, s%3C%3E0
so, answer is:I and III only

which of the following CANNOT be true: II only (because denominator s+=+0)