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December 2nd, 2013, 11:22 AM   #1
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Simplifying Exponent Equation

Hello, I'm having trouble understanding how to simplify this exponent equation.. I'm sure it's probably simple. Any help would be very appreciated, Thank you.

((x^(a+b) )^(a-b))/((x^(a-2b) )^(a+2b) )

P.S I tried to paste it in as a stacked fraction but it didn't work, sorry.
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December 2nd, 2013, 11:35 AM   #2
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The numerator = (x^(a+b))^(a-b) = x^((a + b)(a - b)) = x^(a - b)).
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December 2nd, 2013, 11:49 AM   #3
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Re: Simplifying Exponent Equation

Thank you skipjack for quick helpful reply!
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December 2nd, 2013, 01:15 PM   #4
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Hence the fraction simplifies to x^(3b).
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