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Site News The People of Virginia VS Grabigial BanBerger | ARFCOM News
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8/14/2008 8:49:40 AM EDT
if A is not zero, (-a) to the zero power equals?
8/14/2008 8:50:17 AM EDT
[#1]
isn't everything to the zero power 1?
8/14/2008 8:51:05 AM EDT
[#2]
uhhhh........ blue?
8/14/2008 8:51:59 AM EDT
[#3]
1.

Anything (non-zero) to the 0 power = 1.
8/14/2008 8:52:44 AM EDT
[#4]

Quoted:
1.

Anything (non-zero) to the 0 power = 1.


Correct.
8/14/2008 8:53:23 AM EDT
[#5]
-1

Negative integers to the zero power is negative one people. Sheesh.
8/14/2008 8:53:30 AM EDT
[#6]
.999 bar
8/14/2008 8:54:49 AM EDT
[#7]
87.0/87.0
8/14/2008 8:56:01 AM EDT
[#8]

Quoted:
1.

Anything (non-zero) to the 0 power = 1.


Not true.


You are right for positive numbers, but the OP is talking negative numbers.
8/14/2008 8:56:04 AM EDT
[#9]
Think of a zero exponent x^0 as x^a / x^a; this is the same as x^(a-a) = x^0. As far as x^a / x^a is concerned, it doesn't matter what value x has, positive or negative; x^a when divided by itself it is always +1
8/14/2008 8:56:15 AM EDT
[#10]
42
8/14/2008 8:59:02 AM EDT
[#11]

Quoted:

Quoted:
1.

Anything (non-zero) to the 0 power = 1.


Not true.


You are right for positive numbers, but the OP is talking negative numbers.


D'oh.  Yeah, you're right.  Guess I should've had another cup of coffee this morning
8/14/2008 9:00:06 AM EDT
[#12]

Quoted:
Think of a zero exponent x^0 as x^a / x^a; this is the same as x^(a-a) = x^0. As far as x^a / x^a is concerned, it doesn't matter what value x has, positive or negative; x^a when divided by itself it is always +1




What you just said has nothing to do with the OP's question. ANYTHING divided by itself is one.
8/14/2008 9:01:31 AM EDT
[#13]
8/14/2008 9:02:00 AM EDT
[#14]
.9bar
8/14/2008 9:02:06 AM EDT
[#15]

Quoted:
1.

Anything (non-zero) to the 0 power = 1.



ask the risk of sounding like a dumbass, can you please explain.

if 3 to the third power = 3x3x3 then wouldn't something to the zero power just not exist and be nothing aka 0?

ETA: I can't remember half the stuff I learned in math...
8/14/2008 9:02:55 AM EDT
[#16]

Quoted:

Quoted:
Think of a zero exponent x^0 as x^a / x^a; this is the same as x^(a-a) = x^0. As far as x^a / x^a is concerned, it doesn't matter what value x has, positive or negative; x^a when divided by itself it is always +1




What you just said has nothing to do with the OP's question. ANYTHING divided by itself is one.



it answers the op's question and explains the logic of the answer


x^0 is the same as x^a / x^a

therefore x^0 = +1 no matter what x is
8/14/2008 9:03:43 AM EDT
[#17]

Quoted:

Quoted:
1.

Anything (non-zero) to the 0 power = 1.


Not true.


You are right for positive numbers, but the OP is talking negative numbers.


Really?
8/14/2008 9:04:01 AM EDT
[#18]

Quoted:

Quoted:

Quoted:
Think of a zero exponent x^0 as x^a / x^a; this is the same as x^(a-a) = x^0. As far as x^a / x^a is concerned, it doesn't matter what value x has, positive or negative; x^a when divided by itself it is always +1




What you just said has nothing to do with the OP's question. ANYTHING divided by itself is one.



it answers the op's question and explains the logic of the answer




Except the answer is -1 and not +1.......
8/14/2008 9:04:38 AM EDT
[#19]
8/14/2008 9:07:08 AM EDT
[#20]

Quoted:
87.0/87.0


This
8/14/2008 9:10:08 AM EDT
[#21]

Quoted:

Quoted:

Quoted:

Quoted:
Think of a zero exponent x^0 as x^a / x^a; this is the same as x^(a-a) = x^0. As far as x^a / x^a is concerned, it doesn't matter what value x has, positive or negative; x^a when divided by itself it is always +1




What you just said has nothing to do with the OP's question. ANYTHING divided by itself is one.



it answers the op's question and explains the logic of the answer




Except the answer is -1 and not +1.......


Only when implied as -1(x^0)
8/14/2008 9:13:28 AM EDT
[#22]

Quoted:

Quoted:

Quoted:

Quoted:

Quoted:
Think of a zero exponent x^0 as x^a / x^a; this is the same as x^(a-a) = x^0. As far as x^a / x^a is concerned, it doesn't matter what value x has, positive or negative; x^a when divided by itself it is always +1




What you just said has nothing to do with the OP's question. ANYTHING divided by itself is one.



it answers the op's question and explains the logic of the answer




Except the answer is -1 and not +1.......


Only when implied as -1(x^0)


Not a mathematician, but how else would you approach it?

Also, MS calculator says it is -1 (generally they program those things to follow the rules, or some mathematician jumps all over them.)
8/14/2008 9:15:08 AM EDT
[#23]

Quoted:

Quoted:

Quoted:

Quoted:
Think of a zero exponent x^0 as x^a / x^a; this is the same as x^(a-a) = x^0. As far as x^a / x^a is concerned, it doesn't matter what value x has, positive or negative; x^a when divided by itself it is always +1




What you just said has nothing to do with the OP's question. ANYTHING divided by itself is one.



it answers the op's question and explains the logic of the answer




Except the answer is -1 and not +1.......





any non-zero number, positive or negative, raised to 0 is equal to +1


end of story
8/14/2008 9:15:47 AM EDT
[#24]

Quoted:

Quoted:

Quoted:

Quoted:

Quoted:
Think of a zero exponent x^0 as x^a / x^a; this is the same as x^(a-a) = x^0. As far as x^a / x^a is concerned, it doesn't matter what value x has, positive or negative; x^a when divided by itself it is always +1




What you just said has nothing to do with the OP's question. ANYTHING divided by itself is one.



it answers the op's question and explains the logic of the answer




Except the answer is -1 and not +1.......


Only when implied as -1(x^0)


The OP is implying what is

(-x^0)


Do it on a calculator.....      (-6^0)=-1
8/14/2008 9:16:43 AM EDT
[#25]

Quoted:

Quoted:

Quoted:

Quoted:

Quoted:

Quoted:
Think of a zero exponent x^0 as x^a / x^a; this is the same as x^(a-a) = x^0. As far as x^a / x^a is concerned, it doesn't matter what value x has, positive or negative; x^a when divided by itself it is always +1




What you just said has nothing to do with the OP's question. ANYTHING divided by itself is one.



it answers the op's question and explains the logic of the answer




Except the answer is -1 and not +1.......


Only when implied as -1(x^0)


Not a mathematician, but how else would you approach it?

Also, MS calculator says it is -1 (generally they program those things to follow the rules, or some mathematician jumps all over them.)


(-1)^1
8/14/2008 9:16:57 AM EDT
[#26]
87

Page 2!!!
8/14/2008 9:17:28 AM EDT
[#27]

Quoted:
-1

Negative integers to the zero power is negative one people. Sheesh.


I believe the answer is 1, since he said (-a) not -(a)
8/14/2008 9:17:50 AM EDT
[#28]

Quoted:

Quoted:

Quoted:

Quoted:

Quoted:

Quoted:
Think of a zero exponent x^0 as x^a / x^a; this is the same as x^(a-a) = x^0. As far as x^a / x^a is concerned, it doesn't matter what value x has, positive or negative; x^a when divided by itself it is always +1




What you just said has nothing to do with the OP's question. ANYTHING divided by itself is one.



it answers the op's question and explains the logic of the answer




Except the answer is -1 and not +1.......


Only when implied as -1(x^0)


Not a mathematician, but how else would you approach it?

Also, MS calculator says it is -1 (generally they program those things to follow the rules, or some mathematician jumps all over them.)




this thread is starting to make my hands shake


-1 x (5^0) IS NOT THE SAME AS  (-5)^0


-1 x (5^0) = -1


(-5)^0 = +1
8/14/2008 9:19:00 AM EDT
[#29]
I think pi should be rounded off to 3.0
8/14/2008 9:19:15 AM EDT
[#30]

Quoted:

Quoted:

Quoted:

Quoted:

Quoted:

Quoted:
Think of a zero exponent x^0 as x^a / x^a; this is the same as x^(a-a) = x^0. As far as x^a / x^a is concerned, it doesn't matter what value x has, positive or negative; x^a when divided by itself it is always +1




What you just said has nothing to do with the OP's question. ANYTHING divided by itself is one.



it answers the op's question and explains the logic of the answer




Except the answer is -1 and not +1.......


Only when implied as -1(x^0)


The OP is implying what is

(-x^0)


Do it on a calculator.....      (-6^0)=-1



the calculator is wrong


a lot of calculators show E when you try it
8/14/2008 9:21:49 AM EDT
[#31]

Quoted:

Quoted:

Quoted:

Quoted:

Quoted:

Quoted:
Think of a zero exponent x^0 as x^a / x^a; this is the same as x^(a-a) = x^0. As far as x^a / x^a is concerned, it doesn't matter what value x has, positive or negative; x^a when divided by itself it is always +1




What you just said has nothing to do with the OP's question. ANYTHING divided by itself is one.



it answers the op's question and explains the logic of the answer




Except the answer is -1 and not +1.......


Only when implied as -1(x^0)


The OP is implying what is

(-x^0)


Do it on a calculator.....      (-6^0)=-1


Not on my calculator.  On mine, the answer is 1, which, by the way, is the correct answer.  As demonstrated above, any number raised to the zero power is that number divided by itself.  Whether that number is positive or negative, raising it to the zero power results in 1.  
8/14/2008 9:23:01 AM EDT
[#32]

Quoted:

Quoted:

Quoted:

Quoted:

Quoted:

Quoted:

Quoted:
Think of a zero exponent x^0 as x^a / x^a; this is the same as x^(a-a) = x^0. As far as x^a / x^a is concerned, it doesn't matter what value x has, positive or negative; x^a when divided by itself it is always +1




What you just said has nothing to do with the OP's question. ANYTHING divided by itself is one.



it answers the op's question and explains the logic of the answer




Except the answer is -1 and not +1.......


Only when implied as -1(x^0)


The OP is implying what is

(-x^0)


Do it on a calculator.....      (-6^0)=-1



the calculator is wrong


a lot of calculators show E when you try it


Yeah, I did it (-5)^0 and got 1.
8/14/2008 9:31:26 AM EDT
[#33]
As soon as I read (simple) in the thread title. I knew this thread would be fricking hilarious.
8/14/2008 10:25:25 AM EDT
[#34]
My question caused the same argument in cyberspace that it was supposed to solve in reality.  
8/14/2008 10:41:28 AM EDT
[#35]

Quoted:

Quoted:

Quoted:

Quoted:

Quoted:

Quoted:

Quoted:

Quoted:
Think of a zero exponent x^0 as x^a / x^a; this is the same as x^(a-a) = x^0. As far as x^a / x^a is concerned, it doesn't matter what value x has, positive or negative; x^a when divided by itself it is always +1




What you just said has nothing to do with the OP's question. ANYTHING divided by itself is one.



it answers the op's question and explains the logic of the answer




Except the answer is -1 and not +1.......


Only when implied as -1(x^0)


The OP is implying what is

(-x^0)


Do it on a calculator.....      (-6^0)=-1



the calculator is wrong


a lot of calculators show E when you try it


Yeah, I did it (-5)^0 and got 1.


It's 1. (-x^0) tells your calculator to do stuff according to order of operations, so it does the exponent first, which gives you 1, then multiplies it by -1 to give you -1. The proper syntax is (-x)^0, which will indeed give you a positive 1.



OT, but since there may be better math people than me showing up in the thread, does anybody know what the integral of e^(-2*x^2) dx would be? I'm stumped.
8/14/2008 10:43:48 AM EDT
[#36]
+1 on +1
8/14/2008 10:56:58 AM EDT
[#37]
28:06:42:12
8/14/2008 11:02:38 AM EDT
[#38]
(-x)^0 = x^0 = 1



1
8/14/2008 11:04:11 AM EDT
[#39]

Quoted:
Only when implied as -1(x^0)


Not a mathematician, but how else would you approach it?

Also, MS calculator says it is -1 (generally they program those things to follow the rules, or some mathematician jumps all over them.)

What version? I just tried on XP and it says +1.
8/14/2008 11:04:29 AM EDT
[#40]

Quoted:
Not a mathematician, but how else would you approach it?

Also, MS calculator says it is -1 (generally they program those things to follow the rules, or some mathematician jumps all over them.)


What version? I just tried on XP and it says +1.
8/14/2008 11:09:03 AM EDT
[#41]

Quoted:

Quoted:
Not a mathematician, but how else would you approach it?

Also, MS calculator says it is -1 (generally they program those things to follow the rules, or some mathematician jumps all over them.)


What version? I just tried on XP and it says +1.


Yep

My Ti-89 says (-5)^0 = 1
8/14/2008 11:10:34 AM EDT
[#42]
+1
8/14/2008 11:15:50 AM EDT
[#43]

Quoted:
I think pi should be rounded off to 3.0


It was for a short while in one Southern state.
8/14/2008 11:17:17 AM EDT
[#44]

Quoted:

Quoted:
I think pi should be rounded off to 3.0


It was for a short while in one Southern state.

I had a professor who said he routinely engaged some nutjob that would randomly stop by his office in "discussions" about the weirdest topics. One topic was the wackjob's "proof" that pi=3.0.
8/14/2008 11:18:51 AM EDT
[#45]
1
8/14/2008 11:20:46 AM EDT
[#46]

Quoted:
42


This is not the question you seek to answer.
8/14/2008 11:28:06 AM EDT
[#47]
Any calculator that returns a result other than 1 for the equation (-a)^0 should be destroyed by fire immediately. Even -i ^0 = 1.

Edited to make more space after the italic i .
8/14/2008 11:29:34 AM EDT
[#48]
(-A)^0 = 1

-(A^0) = -1
8/14/2008 11:32:39 AM EDT
[#49]
The answer is 1.  Any non-zero integer (positive or negative) raised to the zero power is 1.

- AG
8/14/2008 11:33:50 AM EDT
[#50]
1
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