My Math Forum Simplifying Exponent Equation

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 December 2nd, 2013, 11:22 AM #1 Newbie   Joined: Dec 2013 Posts: 7 Thanks: 0 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.
 December 2nd, 2013, 11:35 AM #2 Global Moderator   Joined: Dec 2006 Posts: 20,310 Thanks: 1981 The numerator = (x^(a+b))^(a-b) = x^((a + b)(a - b)) = x^(a² - b²)).
 December 2nd, 2013, 11:49 AM #3 Newbie   Joined: Dec 2013 Posts: 7 Thanks: 0 Re: Simplifying Exponent Equation Thank you skipjack for quick helpful reply!
 December 2nd, 2013, 01:15 PM #4 Global Moderator   Joined: Dec 2006 Posts: 20,310 Thanks: 1981 Hence the fraction simplifies to x^(3b²).

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