April 15th, 2012, 01:38 AM  #11 
teh

Re: 1 = 1
25 has two roots, one negative and one positive. Taking the root of 25 has only one result, the imaginary root (5i).
Also, yes, the answer is 288. I actually made a mistake writing it downthe troll logic order is 48/2 (9+3), intentionally ambiguous to fool the reader into thinking the answer is 2 instead. (48/24 = 2) edit: Because the value of i shifts every odd exponent. Code:
i^0 = 1 i^1 = i i^2 = 1 i^3 = i i^4 = 1
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I ask you, is a man not entitled to his own opinion? NO, says the forum poster. It belongs to me. Last edited by Hijikata; April 15th, 2012 at 01:45 AM. 
April 15th, 2012, 01:57 AM  #12 
banned
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Re: 1 = 1
One of the properties of exponents I'm guessing. So that you can avoid situations such as this.

April 15th, 2012, 03:22 AM  #13 
teh

Re: 1 = 1
I mean, look at it this way:
Code:
2^2 * 2^2 = 2^4 = 16 If you were to keep the exponent fixed, you would be able to multiply the bases in the above example, but you'd be wrong if you changed the numbers: Code:
3^3 * 3^3 = 3^6 = 81 3^3 * 3^3 = (3 * 3)^3 = 729
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April 15th, 2012, 03:59 AM  #14 
A.K.A Gatinator
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Re: 1 = 1
If you ponder equations rather than sleep walk while laboring you will wind up a crazy janitor. They were once like us, but they chose to drive their selves mad by attempting equations.
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April 15th, 2012, 11:08 AM  #15 
hi

Re: 1 = 1
@Hijikata, that's incorrect. 3^6 = 729. The rule when multiplying exponential #'s is: If the bases are the same, you can add the exponents while keeping the base. If the exponents are the same, you can multiply the bases while keeping the exponent. (But you can't do both if both are the same).
The reason that (1)^1/2 * (1)^1/2 = (1 * 1)^1/2 is incorrect, is that in the rule Code:
√(a) * √(b) = √(a * b) a and/or b must be a positive, real #.
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Last edited by NOLAftw; April 15th, 2012 at 11:09 AM. 
April 15th, 2012, 04:18 PM  #16 
teh

Re: 1 = 1
That's what I get for doing math at 5 in the morning. In this topic, I am told who is the boss.
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April 15th, 2012, 07:48 PM  #17 
I failed the Turing test.
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Re: 1 = 1
The key here is in the definition of square root and not ignoring the fact that the square root function yields two results. The square root of a number a is y, such that y*y=a. We sort of mentally ignore one root of the square root function, but there's two. As Hiji mentioned, sqrt(25) is equal to both +5 and 5. Similarly, sqrt(25)= +5i and 5i.
1*1 = 1, and 1*1=1. The important distinction is that sqrt(1) =/= 1. It's a function that has two roots, +1 and 1. Similarly, 1 raised to any power isn't equal to 1. It's the component along the real axis probably has a value of 1, but there's a difference between the point 1+0i and the roots of the equation x=1^a.
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April 16th, 2012, 08:37 PM  #18 
OccurredStone
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Re: 1 = 1
Now, let's all find the area under the curve!!11
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April 20th, 2012, 11:11 AM  #19 
sophisms, know them.
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Re: 1 = 1
so it's basically the same as this:
2 =(8)^(1/3) =(8)^(2/6) =6√(8)^2 =6√64=2 (just want to point out that the six before the root, doesn't mean 6 x ..., but instead root to the sixth (i have no idea how you say it in english))
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there is no logical proof to support the claim that any sort of deity exists. a ''holy book'' is not proof, since it's credibility depends on the respective deity, it would be a circulus in probando to use one as argument for the other. ''religion isn't about proof, it's about belief''. you believe something BECAUSE there is proof. if a friends tells a crazy story, you might still believe him, because you've known him for a long time or something. belief requires evidence. 
April 20th, 2012, 11:56 AM  #20 
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Re: 1 = 1
There's more math involved in psychology academics than many, many other fields of study. Understanding and practicing statistical analysis is imperative to obtaining a workable degree in the field.
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