#### WootBot

quality posts: 15 Private Messages

Staff

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

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

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

#### darue

quality posts: 1 Private Messages

Part ii)

What is 1^∞?

Hint: It's not 1.

#### Vezen

quality posts: 0 Private Messages

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
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
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

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

trivial

#### ambergreen

quality posts: 11 Private Messages

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

#### Vezen

quality posts: 0 Private Messages
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

What is 1^

(i^2= −1)?

#### Vezen

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

(i^2= −1)?

1^i is how one blinds a cyclops!

#### narquespamley

quality posts: 24 Private Messages
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
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

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

Anything to the power of 0 is 1.

#### Geniekid

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

I see what you did there. :D

#### Geniekid

quality posts: 5 Private Messages

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

#### upbeatbubble

quality posts: 0 Private Messages

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

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

that was darn funny

#### jejaffe

quality posts: 0 Private Messages

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

quality posts: 0 Private Messages

Math geeks make me hot!

#### rockingkitty

quality posts: 0 Private Messages

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

#### rmlawrence

quality posts: 0 Private Messages
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
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
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
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
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
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...

#### die13lda

quality posts: 0 Private Messages

#### sylverfyre

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

Except for 0^0, which is also indeterminate.

#### BobbyStew

quality posts: 0 Private Messages

This is important why??

quality posts: 0 Private Messages

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

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

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

#### FenStar

quality posts: 16 Private Messages
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

Now I forgot what I logged on here to buy!

#### billypuppy

quality posts: 2 Private Messages

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
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.