WootBot


quality posts: 15 Private Messages WootBot

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Poll: Don't use a calculator. What's 5 ^ 0?
  • 6.3% - 5 311
  • 25.1% - 0 1251
  • 50.2% - 1 2496
  • 16.7% - I don't even know what that symbol means 832
  • 1.7% - The correct answer isn't here (comments) 85
4975 votes

Well, how do you fare compared to the Zeitgeist? Chat up your fellow wooters and let us know how lame this poll was or what obvious choices we missed. For example: Was this poll a) STUPID, b) DUMB, c) POINTLESS or d) ALL OF THE ABOVE?

trixierix


quality posts: 1 Private Messages trixierix

Any number to the power of zero is 1. Do I win?

darue


quality posts: 1 Private Messages darue

Part ii)

What is 1^∞?

Hint: It's not 1.

Vezen


quality posts: 0 Private Messages Vezen

Easy. Just multiply five by itself zero times! (Hint: It's the same as the number of permutations of zero items.)

hobbified


quality posts: 1 Private Messages hobbified
darue wrote:Part ii)

What is 1^∞?

Hint: It's not 1.



It's an indeterminate form, which means you have to go back to the problem that gave you 1^∞ and figure out its limiting behavior in context. The answer certainly *could* turn out to be 1, but it could also be any other finite value, or not exist at all.

tms10000


quality posts: 1 Private Messages tms10000
hobbified wrote:It's an indeterminate form, which means you have to go back to the problem that gave you 1^∞ and figure out its limiting behavior in context. The answer certainly *could* turn out to be 1, but it could also be any other finite value, or not exist at all.



"1^∞" makes no sense. There's no number = ∞

But one can calculate the value of the function 1^x, where x reaches ∞. And no matter how many times you multiply 1 by 1, the result is one. So... 1.

AySz88


quality posts: 0 Private Messages AySz88

FYI, easiest way to see why 5^0 = 1 is to finish the pattern:

5^3 = 125
5^2 = 25, which is 125/5
5^1 = 5, which is 25/5
5^0 = 1, which is 5/5

(the pattern is, in general,
x^(n-1) = (x^n) / x )

jimmyrd2


quality posts: 0 Private Messages jimmyrd2

trivial

ambergreen


quality posts: 11 Private Messages ambergreen

I know the answer, I just can't remember why it is correct.

Vezen


quality posts: 0 Private Messages Vezen
ambergreen wrote:I know the answer, I just can't remember why it is correct.



The product of a single five is necessarily five itself. But that also has to equal five times the product of zero fives. For that to work out in a consistent manner the product of zero fives must be ONE, the multiplicative identity.

curtisuxor


quality posts: 56 Private Messages curtisuxor

What is 1^

(i^2= −1)?

Vezen


quality posts: 0 Private Messages Vezen
curtisuxor wrote:What is 1^

(i^2= −1)?



1^i is how one blinds a cyclops!

narquespamley


quality posts: 24 Private Messages narquespamley
hobbified wrote:It's an indeterminate form, which means you have to go back to the problem that gave you 1^∞ and figure out its limiting behavior in context. The answer certainly *could* turn out to be 1, but it could also be any other finite value, or not exist at all.



This is the standard, correct though pedantic mathematician answer. But, in context, the question was what is the ordinal 1 to the infinity power. There is no context in any problem that gave rise to the problem to suggest that we should consider the limiting value. Thus, here on a woot forum absent more complex context, it's simply 1. Oh, and by the way you're even pedantically wrong, because it could also be infinity in certain limits.

koshhi


quality posts: 0 Private Messages koshhi
darue wrote:Part ii)

What is 1^∞?

Hint: It's not 1.



Undefined. Infinity isn't a number. But for the sake of argument you could say it's 1 because you could say 1^x and as x approaches infinity the answer approaches 1 from 1. Common sense.

edit:

AySz88 wrote:(the pattern is, in general,
x^(n-1) = (x^n) / x )


So a number to a certain power isn't simply that number multiplied over and over again like they generally taught everyone in school?

I guess that makes me wrong. But I'm happy that it all makes sense now.

dh4645


quality posts: 3 Private Messages dh4645

zero popped into my head, so thats what i picked.

but i'm sure it's 1 since thats the majority

stv6669


quality posts: 6 Private Messages stv6669

Anything to the power of 0 is 1.

Geniekid


quality posts: 5 Private Messages Geniekid
Vezen wrote:1^i is how one blinds a cyclops!



I see what you did there. :D

Geniekid


quality posts: 5 Private Messages Geniekid

5 ^ 0 = 5 in Java, as the ^ symbol is the bitwise xor operator in Java.

upbeatbubble


quality posts: 0 Private Messages upbeatbubble

Wow, maybe college (high school?) was too long ago for me. I feel pretty silly now for getting that one wrong. Derp.

dtairtime


quality posts: 3 Private Messages dtairtime

Well since I have had no training at all in that use of math I just thought I would use logic - but it seems to have failed me.

I picked 5. To me it would seem 5^1=25 or 5x5=25
5^0=5 or 5x(zero being no action taken since I ASSumed a power was an action not a value) = 5.

What I am trying to say is if it is zero there is nothing to multiply by 5 so nothing is done.

So I learned the use of powers is NOT an action but something else that I have no clue what that is.

allyjoy


quality posts: 0 Private Messages allyjoy
Vezen wrote:1^i is how one blinds a cyclops!



that was darn funny

jejaffe


quality posts: 0 Private Messages jejaffe

Would be better if you clearly identified the correct answer and the respondents answer.

truedivaredhead


quality posts: 0 Private Messages truedivaredhead

Math geeks make me hot!

rockingkitty


quality posts: 0 Private Messages rockingkitty

Bring back the just buying a Box of Chips. us Math challenged people hate this very much

rmlawrence


quality posts: 0 Private Messages rmlawrence
koshhi wrote:So a number to a certain power isn't simply that number multiplied over and over again like they generally taught everyone in school?



Like many math concepts taught in school, this is simply a convenient way to teach exponents to students. The problem is that the explanation breaks down when dealing with exponents that are negative, fractions, or zero.

For those you'd need a more formal definition of exponents. Unfortunately, I don't have one.

thurmanite


quality posts: 4 Private Messages thurmanite
AySz88 wrote:FYI, easiest way to see why 5^0 = 1 is to finish the pattern:

5^3 = 125
5^2 = 25, which is 125/5
5^1 = 5, which is 25/5
5^0 = 1, which is 5/5

(the pattern is, in general,
x^(n-1) = (x^n) / x )



Thank you. That actually made it make sense to me.


ETA- AGAIN! Bah. This is thumperchick, not thurmanite. I need to stick to my own computer...

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baqui63


quality posts: 8 Private Messages baqui63
AySz88 wrote:FYI, easiest way to see why 5^0 = 1 is to finish the pattern:

5^3 = 125
5^2 = 25, which is 125/5
5^1 = 5, which is 25/5
5^0 = 1, which is 5/5

(the pattern is, in general,
x^(n-1) = (x^n) / x )



What, then is 0^0?

garrettwheat


quality posts: 3 Private Messages garrettwheat
AySz88 wrote:FYI, easiest way to see why 5^0 = 1 is to finish the pattern:

5^3 = 125
5^2 = 25, which is 125/5
5^1 = 5, which is 25/5
5^0 = 1, which is 5/5

(the pattern is, in general,
x^(n-1) = (x^n) / x )




I'm some what of a math geek and that doesn't make sense to me. The pattern is actually:

5^3 = 5*5*5 = 125
5^2 = 5*5 = 25
5^1 = 5*(1 or nothing?) = 5
5^0 = 5*0 <--- is what it should be. 1 doesn't make sense.

baqui63


quality posts: 8 Private Messages baqui63
stv6669 wrote:Anything to the power of 0 is 1.



Except zero.

The funky thing is that there are times when it makes sense to say that 0^0 = 1 and other times when it makes sense to say that 0^0 is indeterminate (undefined, the same as x/0, etc.)

I always learned it as being indeterminate, but some googling on the topic does give reason why it sometimes makes sense to say it is 1.

ngibson


quality posts: 0 Private Messages ngibson
garrettwheat wrote:I'm some what of a math geek and that doesn't make sense to me. The pattern is actually:

5^3 = 5*5*5 = 125
5^2 = 5*5 = 25
5^1 = 5*(1 or nothing?) = 5
5^0 = 5*0 <--- is what it should be. 1 doesn't make sense.



The accurate pattern would be

5^3 = 1 * 5 * 5 * 5
5^2 = 1 * 5 * 5
5^1 = 1 * 5
5^0 = 1
5^-1 = 1 / 5
5^-2 = 1 / 5 / 5
etc...

sylverfyre


quality posts: 0 Private Messages sylverfyre
stv6669 wrote:Anything to the power of 0 is 1.



Except for 0^0, which is also indeterminate.

BobbyStew


quality posts: 0 Private Messages BobbyStew

This is important why??

moedadi


quality posts: 0 Private Messages moedadi

Anything to the zero power equals 1 because raising something to the zero power is the same as dividing a number by itself.

daveinwarshington


quality posts: 22 Private Messages daveinwarshington

I thought it was the equation for 5 pies.

Strawberry/Rhubarb
Apple
Peach
Blueberry
Blackberry

The ^ means ala mode.

zeta30


quality posts: 1 Private Messages zeta30

Anyone wanting more info on 0 and why you can't divide by it then watch this...

http://www.youtube.com/watch?v=BRRolKTlF6Q

FenStar


quality posts: 16 Private Messages FenStar
garrettwheat wrote:I'm some what of a math geek and that doesn't make sense to me. The pattern is actually:

5^3 = 5*5*5 = 125
5^2 = 5*5 = 25
5^1 = 5*(1 or nothing?) = 5
5^0 = 5*0 <--- is what it should be. 1 doesn't make sense.

I can assure you, you are not a math geek.

Still single, can't imagine why.

houck


quality posts: 1 Private Messages houck

Now I forgot what I logged on here to buy!

billypuppy


quality posts: 2 Private Messages billypuppy

I was hoping that the answer was π. I love π! Blueberry is my favorite π.

"Three generations of imbeciles is enough".
Oliver Wendell Holmes

conculcate


quality posts: 0 Private Messages conculcate
garrettwheat wrote:I'm some what of a math geek and [...]
5^0 = 5*0 <--- is what it should be. 1 doesn't make sense.



No, you're not a math geek. You've handily illustrated the downside of geekiness being trendy, though.

I was a geek before it was cool. That makes me a geekster, I suppose.