SOLUTION: ((a^6)(b^-10))^(-3/2) I need this simplified. I have been playing around with it for awhile. The best I myself have come up with is a^-9 b^15 . The simplifier gives me (a^6/b^10

Question 602824: ((a^6)(b^-10))^(-3/2) I need this simplified. I have been playing around with it for awhile. The best I myself have come up with is a^-9 b^15 . The simplifier gives me (a^6/b^10)^-3/2 . I KNOW the correct answer is b^15 / a^9 . I would like to know how to solve this. Please help ?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
((a^6)(b^-10))^(-3/2)
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= [a^6/b^10]^(-3/2)
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The negative in the exponent means "invert"
The 3 means "cube"
The 2 means "take the square root"
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= (b^10/a^6)^(3/2)
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= (b^5/a^3)^(3)
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= b^15/a^9
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cheers,
Stan H.
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