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 May 15th, 2015, 11:25 AM #1 Newbie     Joined: May 2015 From: California Posts: 10 Thanks: 0 Math Focus: geometry x/sqr(x) = 1/x $\displaystyle \frac{x}{ x^{2} } = \frac{1}{x}$ What is this called? Or how can we describe it?
 May 15th, 2015, 12:07 PM #2 Global Moderator     Joined: Nov 2006 From: UTC -5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms "Division"? "Cancellation"? Note that one must have $x\ne0$ for this to hold. Thanks from ravas
 May 15th, 2015, 01:06 PM #3 Newbie     Joined: May 2015 From: California Posts: 10 Thanks: 0 Math Focus: geometry Thank you. I am interested in seeing how cancellation works with this example.
May 15th, 2015, 01:41 PM   #4
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Quote:
 Originally Posted by ravas Thank you. I am interested in seeing how cancellation works with this example.
$\displaystyle \frac{x}{x^2} = \frac{x \cdot 1}{x \cdot x} = \frac{\cancel{x} \cdot 1}{\cancel{x} \cdot x} = \frac{1}{x}$

 May 15th, 2015, 01:44 PM #5 Newbie     Joined: May 2015 From: California Posts: 10 Thanks: 0 Math Focus: geometry Ahh... got it! Thank you.

 Tags algebra, cancellation, division, reciprocal, squared

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