SOLUTION: Please help me, I've got this problem that I don't know what to do with it I think I have to rationalize the denominnators, but I'm not sure, as it's kinda weird. It's the square o

Question 115026: Please help me, I've got this problem that I don't know what to do with it I think I have to rationalize the denominnators, but I'm not sure, as it's kinda weird. It's the square of 4 a^5 b^6 over the square of 3 a^2 b^4 c^2. How do I solve this? Whatever do you do with the letters? Please get back to me quickly, I have serval other oproblems like this and if any of your could show me how to do them, I'm certain I can do the rest on my own.
Found 2 solutions by stanbon, MathLover1:
Answer by stanbon(48568) (Show Source):
You can put this solution on YOUR website!
square of 4 a^5 b^6 over the square of 3 a^2 b^4 c^2
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(4a^5b^6)^2 / (3a^2b^4c^2)^2
= (16/9)(a^10/a^4)(b^12/b^8)(1/c^4))
= (16/9)(a^6)(b^4)(1/c^4)
= (16a^6b^4)/(9c^4)
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Cheers,
Stan H.

Answer by MathLover1(3376) (Show Source):
You can put this solution on YOUR website!
….raise to the second power (you already know from relationship between exponents and radicals: the appropriate exponent will "undo" an radical, and the right power will "undo" a root.)
…...."undo" a square root
….

….apply basic exponent rule: whenever you divide two terms with the same base, you can subtract the exponents:
….

….