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May 15th, 2015, 06:12 PM  #1 
Member Joined: May 2015 From: U.S.A. Posts: 45 Thanks: 0  How do you simplify a twovariable division problem with variables in the exponent?
Simplify $\displaystyle \frac{x^{3a+2}} {x^{2a1}}$ (In case I'm doing the LaTeX incorrectly, it's (x^3a+2) / (x^2a1), or (x to the power of 3a + 2) divided by (x to the power of 2a  1) Since there's no answer to the problem, I wouldn't know how to set up a logarithm for either part of the fraction. (Sorry for how basic my knowledge is. I'm working on it.) The answer is $\displaystyle x^{a + 3}$, but I can't see how to get there. Last edited by skipjack; May 19th, 2015 at 12:16 AM. 
May 15th, 2015, 06:16 PM  #2  
Math Team Joined: May 2013 From: The Astral plane Posts: 2,035 Thanks: 810 Math Focus: Wibbly wobbly timeywimey stuff.  Quote:
1) $\displaystyle \frac{1}{m^n} = m^{n}$ 2) $\displaystyle m^n \cdot m^p = m^{n + p}$ So $\displaystyle \frac{x^{3a + 2}}{x^{2a  1}} = \left ( x^{3a + 2} \right ) \cdot \left ( x^{(2a  1)} \right ) = x^{(3a + 2)  (2a  1)}$ etc. Dan Last edited by skipjack; May 19th, 2015 at 12:17 AM.  
May 15th, 2015, 06:24 PM  #3  
Member Joined: May 2015 From: U.S.A. Posts: 45 Thanks: 0  Quote:
 

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division, exponent, problem, simplify, twovariable, variables 
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