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SephI
 2 years ago
Best ResponseYou've already chosen the best response.0Just curious. It marked it wrong but I'm sure I got it right. Look: x^2  x^6 = 1  x^4 Now to make it positive we put it in the numerator x^4  1 Which is just equal to x^4

zepdrix
 2 years ago
Best ResponseYou've already chosen the best response.1\[\large \frac{x^2}{x^6} \qquad = \qquad x^{26} \qquad = \qquad x^{4}\]Do you see the mistake you made? You had the correct power, but when you divide, you should be left with your X in the numerator, not the bottom one.

SephI
 2 years ago
Best ResponseYou've already chosen the best response.0I don't think so. \[\frac{ x^2 }{ x^6 } \rightarrow \frac{ 1 }{ x^6  x^2 } \rightarrow \frac{ 1 }{ x^4 } \rightarrow \frac{ x^4 }{ 1 }\rightarrow x^4\] We subtract the denominator from the numerator.

geerky42
 2 years ago
Best ResponseYou've already chosen the best response.0\[\large \dfrac{x^a}{x^b} = x^{a  b} = \dfrac{1}{x^{b  a}}\]

zepdrix
 2 years ago
Best ResponseYou've already chosen the best response.1You could write it like this if you wanted.\[\large \frac{x^2}{x^6} \qquad = \qquad \frac{1}{x^6x^{2}} \qquad =\qquad \frac{1}{x^{62}} \qquad =\qquad \frac{1}{x^4} \qquad = \qquad x^{4}\]

geerky42
 2 years ago
Best ResponseYou've already chosen the best response.0Zepdrix is right, you know.

zepdrix
 2 years ago
Best ResponseYou've already chosen the best response.1You have the right idea (although the notation is a bit sloppy). You just made a tiny mistake, when you subtracted 2 from 6, it should give you `positive` 4.

SephI
 2 years ago
Best ResponseYou've already chosen the best response.0If that's true, it should be 4, \[\frac{ 1 }{ x^4 }\] would be fine.

zepdrix
 2 years ago
Best ResponseYou've already chosen the best response.1Yes that would be a fine answer! :)

geerky42
 2 years ago
Best ResponseYou've already chosen the best response.0Yeah. Most people hate negative exponents, so it's good enough.

SephI
 2 years ago
Best ResponseYou've already chosen the best response.0But if... \[\frac{ x^6 }{ x^5 } = 6  5\] Why would \[\frac{ x^5 }{ x^6} = 6  5, too?\]

geerky42
 2 years ago
Best ResponseYou've already chosen the best response.0No, look at my 'formula' above here.

zepdrix
 2 years ago
Best ResponseYou've already chosen the best response.1\[\large \frac{x^5}{x^6}=x^{56}\] Yah your numbers are a little backwards on the second example. :) You always subtract the BOTTOM number, it doesn't matter which number is smaller. Always subtract the power in the denominator.

zepdrix
 2 years ago
Best ResponseYou've already chosen the best response.1lololol good ole morgan freeman XDDD
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