SOLUTION: I need help with this eqation. [(8a^2b^-1)/(b^2)]^3 I worked it out to..(8a^6b^3)/(b^6)= (8a^6)/(b^-3-6)= (8a^6)/(b^-9) I also worked it in this form first---8a^6b^-3, and then

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: I need help with this eqation. [(8a^2b^-1)/(b^2)]^3 I worked it out to..(8a^6b^3)/(b^6)= (8a^6)/(b^-3-6)= (8a^6)/(b^-9) I also worked it in this form first---8a^6b^-3, and then      Log On


   

Question 399379: I need help with this eqation. [(8a^2b^-1)/(b^2)]^3
I worked it out to..(8a^6b^3)/(b^6)= (8a^6)/(b^-3-6)= (8a^6)/(b^-9)
I also worked it in this form first---8a^6b^-3, and then i just guessed on what to do so i could get b on the bottom.
I know the answer is supposed to be (8a^6)/(b^9) How?

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Might recommend using the following to come up with the solution:

Rules of Exponents:

I.  x%5Em%2Ax%5En+=+x%5E%28m%2Bn%29+   

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

III. root%28a%2Cp%29%2Aroot%28a%2Cq%29+=+root%28a%2Cp%2Aq%29



[(8a^2b^-1)/(b^2)]^3 = 8^3a^6b^-3 / b^6 = 8^3a^6/(b^3)b^6 = 8^3a^6/b^9