SOLUTION: Please help with this question. I'm suppose to perform indicated operation 6^-2r^-3 ___________ _ 2^3(r^-5)^-3 I know I'm suppose to use the quotient rule but I'm not sure d

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please help with this question. I'm suppose to perform indicated operation 6^-2r^-3 ___________ _ 2^3(r^-5)^-3 I know I'm suppose to use the quotient rule but I'm not sure d      Log On


   

Question 507338: Please help with this question. I'm suppose to perform indicated operation
6^-2r^-3
_____________
2^3(r^-5)^-3 I know I'm suppose to use the quotient rule but I'm not sure do I put 8 on top and bring the -36 down and then do I simplify that fraction I'm left with. Thank you for any help.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
%286%5E-2%2Ar%5E-3%29%2F%282%5E3%28r%5E-5%29%5E-3%29
first use the rule:
any nonzero number raised to a negative power equals its reciprocal raised to the opposite positive power
%28%281%2F6%5E2%29%2A%281%2Fr%5E3%29%29%2F%282%5E3%281%2F%28r%5E-5%29%5E3%29%29

%281%2F%286%5E2%2Ar%5E3%29%29%2F%282%5E3%2F%281%2F%28r%5E5%29%29%5E3%29

%281%2F%286%5E2%2Ar%5E3%29%29%2F%28%282%5E3%2A%28r%5E15%29%29%2F1%29.........multiply the outer 2 terms (put it as nominator) and multiply the inner 2 term (put it as denominator)

1%2F%286%5E2%2Ar%5E3%2A2%5E3%2Ar%5E15%29

1%2F%28288%2Ar%5E18%29