SOLUTION: it is about polynomials and rational expressions. Solve the following such that each variable appears only once. 1)x^3 y^5 y^-7 over x^5 2)z^16.z^-16 3)y^43 over y^24 4)[(xy)^4

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: it is about polynomials and rational expressions. Solve the following such that each variable appears only once. 1)x^3 y^5 y^-7 over x^5 2)z^16.z^-16 3)y^43 over y^24 4)[(xy)^4      Log On


   

Question 469839: it is about polynomials and rational expressions. Solve the following such that each variable appears only once.
1)x^3 y^5 y^-7 over x^5
2)z^16.z^-16
3)y^43 over y^24
4)[(xy)^4]^3
5)[(st)^2s^3]^4
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

a%5E0+=+1

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

root%28a%2Cp%29%2Aroot%28a%2Cq%29+=+root%28a%2Cp%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

Applying the above appropriately

1)x%5E3%2A+y%5E5%2A+y%5E-7%2F+x%5E5 = %28x%5E-2%29%28y%5E-2%29

2)z^16.z^-16 = z^0 = 1

3)y%5E43+%2F+y%5E24 = y^19

4)[(xy)^4]^3 = %28x%5E12%29%28y%5E12%29

5)[(st)^2s^3]^4= [s^2t^2s^3]^4 = [s^5t^2]^4 = %28s%5E20%29%28t%5E8%29