@@ Indices - especially negative indices

Question

@@ Indices - especially negative indices

+7

2294

3

+118696

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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140109 neg indice

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$140206 neg indices with fractions$

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140206 neg indices

140207 Indices

Melody May 6, 2014

Best Answer

3⁺⁰ Answers

#3

+118696

+6

Best Answer

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

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.

Melody Jun 4, 2014

3 Online Users

Melody · Answer 1 · 2014-06-04T02:27:49

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

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.

Melody · Answer 2 · 2014-05-06T02:47:48

140208 more indices

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140403 indices

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Melody · Answer 3 · 2014-05-06T02:49:48

Powers of 0 and 1 - Exponents of 0and 1

x^0 and x^1