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/sci/ - Science & Math


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9042299 No.9042299 [Reply] [Original]

If you simplify the fraction, do you get a different answer when you evaluate the exponent? google can`t seem to answer this, and my professor gave me a blank look.

>> No.9042591

Hey 4chan!

>> No.9042593

what the hell are you even asking mate?

>> No.9042597

tell your professor to do his job

>> No.9042603

>>9042299
No

>> No.9043191

>>9042299
>If I write the name of my drink in another language, will it taste different when I drink it?

>> No.9043254

>>9042299
Do you mean if any of this holds?
[math]\frac{a}{b}=\frac{e^a}{e^b}=\frac{a^e}{b^e}[/math]
The answer is no in any case a=2, b=1 is a counterexample: (if you don't know what e is it is about 2.72)
[math]\frac{2}{1} \not = \frac{e^2}{e}=\frac{e}{1}[/math]
[math]\frac{2}{1} \not = \frac{2^e}{1^e} \approx 2.4201[/math]

>> No.9043266

>>9042299
ax/ay = x/y

this is what simplifying a fraction is (x and y are coprime, a is their largest common factor)

(ax/ay)^t = (ax)^t/(ay)^t = ((a^t)*(x^t))/((a^t)*(y^t)) = (x^t)/(y^t) = (x/y)^t

so no, it doesn't change

>> No.9043349
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9043349

>>9042299
>my professor gave me a blank look
He realized you're a brainlet

>> No.9043426

>>9043191
Actually, probably. People think that more expensive wine tastes better. So changing the name of a drink does affect its taste.

/pedantry

But I do appreciate your attempt at humour.