SOLUTION: how do i do this problem, help? (r^6 s)^-2 __________ r^-5 s^3

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Question 631383: how do i do this problem, help?
(r^6 s)^-2
__________
r^-5 s^3

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Follow the general rule:
+a%5E%28-b%29+=+1+%2F+a%5Eb+
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+%28+r%5E6%2As+%29%5E%28-2%29+%2F+%28+r%5E%28-5%29%2As%5E3+%29+
+1+%2F+%28%28+r%5E6%2As+%29%5E2+%2A+r%5E%28-5%29%2As%5E3+%29++
+1+%2F%28+r%5E12+%2A+s%5E2+%2A+r%5E%28-5%29+%2A+s%5E3+%29+
Rearrange factors
+1+%2F+%28+r%5E12+%2A+r%5E%28-5%29+%2A+s%5E2+%2A+s%5E3+%29+
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Now use the rule:
+a%5E%28-b%29+%2A+a%5Ec+=+a%5E%28+c+-+b+%29+
+1+%2F+%28+r%5E7+%2A+s%5E5%29+ answer