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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 co

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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

#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
Sort:

#1
+91919
+5

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

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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