SOLUTION: Hi, Can anyone explain the mathematical rule behind this derivation: x^2 is proportional to Y^3 so x is proportional to Y^3/2. In the above rule the exponent 2 is being mo

Algebra ->  Exponents -> SOLUTION: Hi, Can anyone explain the mathematical rule behind this derivation: x^2 is proportional to Y^3 so x is proportional to Y^3/2. In the above rule the exponent 2 is being mo      Log On


   

Question 18363: Hi,
Can anyone explain the mathematical rule behind this derivation:
x^2 is proportional to Y^3
so
x is proportional to Y^3/2.
In the above rule the exponent 2 is being moved from one side of the derivation to the other and becomes 3/2.How?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
You can write proportions as an equation if you use an arbitrary constant of proportionality (k).
x%5E2+=+ky%5E3 Take the square root of both sides.
%28x%5E2%29%5E%281%2F2%29+=+k%28y%5E3%29%5E%281%2F2%29 Simplify; Multiply the exponents.
x+=+k%28y%5E%283%2F2%29%29
Therefore:
x is proportional to y%5E%283%2F2%29