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@@ Indices - especially negative indices

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I have put this thread  together because so many people ask how to deal with negative indices and i have not noticed other internet sites that teach it well (although i am sure there are a lot, I just haven't found them.)

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May 6, 2014

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+109812
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$$16^{1/2}=\sqrt{16}=4\\\\ 16^{-1/2}=\frac{16^{-1/2}}{1}=\frac{1}{1\times 16^{+1/2}}=\frac{1}{\sqrt{16}}=\frac{1}{4}$$

NOTE: The 1 that was on the bottom stayed on the bottom.  I put the one on the top because there was nothing else there. when there is nothing else you put a one. does that make sense?

Whenever anything is raised to a negative power you swap it to the otherside of the fraction line and change the negative power to a positive power.

Jun 4, 2014

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May 6, 2014
#2
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Powers of 0 and 1 - Exponents of 0and 1

May 6, 2014
#3
+109812
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$$16^{1/2}=\sqrt{16}=4\\\\ 16^{-1/2}=\frac{16^{-1/2}}{1}=\frac{1}{1\times 16^{+1/2}}=\frac{1}{\sqrt{16}}=\frac{1}{4}$$