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anonymous
 one year ago
x^2+x^4=
I got x^1/2+x^1/4 but i dont remember the rules well for exponents
anonymous
 one year ago
x^2+x^4= I got x^1/2+x^1/4 but i dont remember the rules well for exponents

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freckles
 one year ago
Best ResponseYou've already chosen the best response.3x^(2) doesn't mean x^(1/2) though you can write x^(2) as 1/x^2

freckles
 one year ago
Best ResponseYou've already chosen the best response.3and same for the x^(4) this is not x^(1/4)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ohhh okay so do i multiply the exponents?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[x^{2} x^{4}\] You're just looking to factor out this function?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0well for the exponents, it says to put it in A/B

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh okay, so as @freckles mentioned :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Recall that \(x^{\#} \iff \dfrac{1}{x^{\#}}\) Therefore we can write our function over 1 to make the exponents of the variables positive :) and i made a typo, my function should have read \(x^{2} + x^{4}\)*

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i got that now! so do we multiply the exponents to get 1/x^8?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i completely forgot the rules

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0All we can do now, is factor out the denominator.

freckles
 one year ago
Best ResponseYou've already chosen the best response.3\[x^{2}+x^{4}=\frac{1}{x^2}+\frac{1}{x^4}\] you can combine the fractions by finding a common denominator

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I made a really big error. My mistake was in putting the function as a whole in the denominator. In order to turn each variable positive, you must treat each variable as a separate function.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0From what @freckles wrote, just find the greatest common denominator between \(x^2\) and \(x^4\).

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0common denominator is x^4?

freckles
 one year ago
Best ResponseYou've already chosen the best response.3that is right \[x^{2}+x^{4} \\ \frac{1}{x^2}+\frac{1}{x^4} \\ \frac{1(x^2)}{x^2(x^2)}+\frac{1}{x^4}\] now you have the same denominator combine the fractions

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so itll be x^2/x^4 do i reduce?

freckles
 one year ago
Best ResponseYou've already chosen the best response.3you will have \[\frac{x^2+1}{x^4}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0wouldnt that equal to x+1/x^2

freckles
 one year ago
Best ResponseYou've already chosen the best response.3no just (x^2+1)/x^4 can't be reduced because you don't have all terms with factor x^2

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0than would A/B be 2/4? cause the question asked put the exponents as A/B

freckles
 one year ago
Best ResponseYou've already chosen the best response.3are you saying we are suppose to write in x^(A/B) form?

freckles
 one year ago
Best ResponseYou've already chosen the best response.3\[x^{2}+x^{4}=x^{\frac{2}{1}}+x^{\frac{4}{1}}\] there is both terms written in x^(A/B) form

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh okay thats easier to understand

freckles
 one year ago
Best ResponseYou've already chosen the best response.3I don't get your question can you post your whole question

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0simplofy the rational expression in the form of A/B. x^2+x^4

freckles
 one year ago
Best ResponseYou've already chosen the best response.3oh in the form A/B well we did that \[\frac{x^2+1}{x^4} \\ \text{ we have } A=x^2+1 \text{ and } B=x^4\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh my god thank you!
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