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When dividing radicals and the top variable's degree is lower than the bottom's, is it negative? And if so, how does it become written in context of the radical's root(ex: third root of X to the negative third power)?

Guest Mar 31, 2015

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 #1
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$$\\x^4\div x^6=x^{4-6}=x^{-2}\\\\
$Now I will look at it differently$\\\\
x^4\div x^6=\frac{x^4}{x^6}=\frac{\not{x}\not{x}\not{x}\not{x}^1}{\not{x}\not{x}\not{x}\not{x}xx}=\frac{1}{x^2}\\\\
$so put these together and you get$\\\\
x^{-2}=\frac{1}{x^2}$$

 

If you want to get rid of a negative indice you put the thing that is raised to the neg power on the other side of the fraction line and change the negative to a positive.  :)

 

More here:

http://web2.0calc.com/questions/indices-especially-negative-indices

Melody  Mar 31, 2015
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1+0 Answers

 #1
avatar+91435 
+5
Best Answer

 

$$\\x^4\div x^6=x^{4-6}=x^{-2}\\\\
$Now I will look at it differently$\\\\
x^4\div x^6=\frac{x^4}{x^6}=\frac{\not{x}\not{x}\not{x}\not{x}^1}{\not{x}\not{x}\not{x}\not{x}xx}=\frac{1}{x^2}\\\\
$so put these together and you get$\\\\
x^{-2}=\frac{1}{x^2}$$

 

If you want to get rid of a negative indice you put the thing that is raised to the neg power on the other side of the fraction line and change the negative to a positive.  :)

 

More here:

http://web2.0calc.com/questions/indices-especially-negative-indices

Melody  Mar 31, 2015

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