SOLUTION: how do I symplyfy (81a^12 r^-4/16a^-4r^4)^-3/4

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Question 198284: how do I symplyfy (81a^12 r^-4/16a^-4r^4)^-3/4
Answer by RAY100(1637) About Me  (Show Source):
You can put this solution on YOUR website!
Remember that a^2^3^4 = a^( 2*3*4)
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lets multiply all the exponents first
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(12r)(-4/16 a)(-4r) (4) = 48 a r^2
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putting it back together
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{ 81a^ (48ar^2) }^ (-3/4)
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{81^ ( -3/4)} {a^ ( 48ar^2) ^ (-3/4)}
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(-27) ( a^ (-36 a r^2) )
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(-27) / { a ^ (36ar^2) }