SOLUTION: will you help me complete the following euation to show how I can find the exponent of the product when you multiply two powers with the same base. Am X An = A?

Algebra ->  Exponents -> SOLUTION: will you help me complete the following euation to show how I can find the exponent of the product when you multiply two powers with the same base. Am X An = A?      Log On


   

Question 822816: will you help me complete the following euation to show how I can find the exponent of the product when you multiply two powers with the same base.
Am X An = A?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

%28A%5Em%29%28A%5En%29+=+A%5E%28m%2Bn%29

a%5E0+=+1

%28a%5Ep%29%5Eq+=+a%5E%28p%2Aq%29

x%5Em%2Fx%5En=x%5E%28m-n%29

%28+x%5Em+%29%28+x%5En+%29+=+x%5E%28+m+%2B+n+%29 *****

%28xy%29%5En+=+x%5En%2Ay%5En

x%5E%281%2Fn%29+=+root%28n%2Cx%29   , x%5E%28m%2Fn%29+=+%28root%28n%2Cx%29%29%5Em

root%28a%2Cp%29%2Aroot%28a%2Cq%29+=+root%28a%2Cp%2Aq%29 ,  root%28n%2C+%28x%2Fy%29%29+=+root%28n%2Cx%29%2Froot%28n%2Cy%29