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?

- Woot →
- Community →
- World of Woot →
- Poll: Don't use a calculator. What's 5 ^ 0?

- Jun 19, 2013 12:00 AM
- permalink

- Jun 19, 2013 12:07 AM
- permalink

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

- Jun 19, 2013 12:07 AM
- permalink

Part ii)

What is 1^∞?

Hint: It's not 1.

- Jun 19, 2013 12:12 AM
- permalink

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

- Jun 19, 2013 12:55 AM
- permalink

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.

- Jun 19, 2013 1:02 AM
- permalink

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.

- Jun 19, 2013 1:11 AM
- permalink

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 )

- Jun 19, 2013 1:20 AM
- permalink

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

- Jun 19, 2013 1:36 AM
- permalink

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.

- Jun 19, 2013 2:44 AM
- permalink

What is 1^

(i^2= −1)?

- Jun 19, 2013 3:07 AM
- permalink

curtisuxor wrote:What is 1^

(i^2= −1)?

1^i is how one blinds a cyclops!

- Jun 19, 2013 6:59 AM
- permalink

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.

- Jun 19, 2013 7:07 AM
- permalink

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.

- Jun 19, 2013 7:47 AM
- permalink

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

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

- Jun 19, 2013 8:00 AM
- permalink

Anything to the power of 0 is 1.

- Jun 19, 2013 8:01 AM
- permalink

Vezen wrote:1^i is how one blinds a cyclops!

I see what you did there. :D

- Jun 19, 2013 8:06 AM
- permalink

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

- Jun 19, 2013 8:11 AM
- permalink

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

- Jun 19, 2013 8:17 AM
- permalink

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.

- Jun 19, 2013 8:37 AM
- permalink

Vezen wrote:1^i is how one blinds a cyclops!

that was darn funny

- Jun 19, 2013 8:41 AM
- permalink

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

- Jun 19, 2013 8:53 AM
- permalink

Math geeks make me hot!

- Jun 19, 2013 9:06 AM
- permalink

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

- Jun 19, 2013 10:11 AM
- permalink

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.

- Jun 19, 2013 10:24 AM
- permalink

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...

- Jun 19, 2013 10:41 AM
- permalink

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?

- Jun 19, 2013 10:43 AM
- permalink

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.

- Jun 19, 2013 10:51 AM
- permalink

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.

- Jun 19, 2013 11:34 AM
- permalink

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...

- Jun 19, 2013 11:43 AM
- permalink

- Jun 19, 2013 12:47 PM
- permalink

stv6669 wrote:Anything to the power of 0 is 1.

Except for 0^0, which is also indeterminate.

- Jun 19, 2013 4:55 PM
- permalink

This is important why??

- Jun 19, 2013 5:03 PM
- permalink

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

- Jun 19, 2013 5:04 PM
- permalink

I thought it was the equation for 5 pies.

Strawberry/Rhubarb

Apple

Peach

Blueberry

Blackberry

The ^ means ala mode.

- Jun 19, 2013 6:57 PM
- permalink

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

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

- Jun 19, 2013 7:01 PM
- permalink

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.

- Jun 19, 2013 7:58 PM
- permalink

Now I forgot what I logged on here to buy!

- Jun 19, 2013 9:19 PM
- permalink

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

Oliver Wendell Holmes

- Jun 19, 2013 10:16 PM
- permalink

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.