Distributing square-root (1/2) power through exponential equation
- To: mathgroup at smc.vnet.net
- Subject: [mg101296] Distributing square-root (1/2) power through exponential equation
- From: Steven Matthew Anderson <AdAstra69 at mac.com>
- Date: Tue, 30 Jun 2009 06:35:02 -0400 (EDT)
I'm playing with normal distributions, Two random points 1 and 2 with x and y coordinates given by: px1=PDF[NormalDistribution[Mu,Sx],X1] px2=PDF[NormalDistribution[Mu,Sx],X1] py1=PDF[NormalDistribution[Mu,Sy],Y1] py2=PDF[NormalDistribution[Mu,Sy],Y2] The square of the Euclidean Distance between them is SqD = (px2-px1)^2+(py2-py1)^2 Take the square root and expand of that to get Dist = Sqrt[Expand[SqD]] Now the question: How do I get the square root to act just like another power so I can simplify this mess? I have tried PowerExpand, FullSimplify, Expand, Simplify, and various combinations. Not sure what I'm missing here.