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May 15th, 2015, 11:25 AM   #1
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x/sqr(x) = 1/x

$\displaystyle \frac{x}{ x^{2} } = \frac{1}{x} $

What is this called? Or how can we describe it?

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May 15th, 2015, 12:07 PM   #2
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"Division"? "Cancellation"?

Note that one must have $x\ne0$ for this to hold.
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May 15th, 2015, 01:06 PM   #3
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Thank you. I am interested in seeing how cancellation works with this example.
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May 15th, 2015, 01:41 PM   #4
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Originally Posted by ravas View Post
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}
$
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May 15th, 2015, 01:44 PM   #5
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Ahh... got it! Thank you.
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