MathsIsFun wrote:Absolutely ... it is quite intriguing.

100000^0 = 1

10^0 = 1

1^0 = 1

0.00001^0 = 1

So,0^0 = 1BUT

0^10 = 0

0^1 = 0

0^0.00000001 = 0

So,0^0 = 0As it says in the mathforum article, it depends on which direction you come from!

My humorous professor during college would say that statistically, the result is ½ since we add both results then take the average. That's what he said when he was discussing whether 0 divided by 0 equals 0 or 1.

0 or 1 may seem logical, not mathematical, strictly! It is Neither!

]]>Absolutely ... it is quite intriguing.

100000^0 = 1

10^0 = 1

1^0 = 1

0.00001^0 = 1

So,0^0 = 1BUT

0^10 = 0

0^1 = 0

0^0.00000001 = 0

So,0^0 = 0As it says in the mathforum article, it depends on which direction you come from!

My humorous professor during college would say that statistically, the result is ½ since we add both results then take the average. That's what he said when he was discussing whether 0 divided by 0 equals 0 or 1.

]]>Anything to the power 0 is 1. No-one knows why but it just happens.

This is to fulfill the laws of exponents which state

We know

.

However,

are not defined.]]>

it is simply not defined....

certain functions in mathematics are indeterminate,

like 0/0;

when the numerator of a number is zero, irrespective of the denominator(provided the denominator is not zero), the value is 0;

when the denominator of a number is 0, irrespecive of the numerator (provided numerator is not zero), the value is infinity]]>

If you take the view that 0^0=0, then 0^0^0=0^0=0

If you take the view that 0^0=1, then 0^0^0=0^1=0

Haha, that is true!

]]> 100000^0 = 1

10^0 = 1

1^0 = 1

0.00001^0 = 1

So, **0^0 = 1**

BUT

0^10 = 0

0^1 = 0

0^0.00000001 = 0

So, **0^0 = 0**

As it says in the mathforum article, it depends on which direction you come from!

]]>... log x=0 log0...

The flaw in your proof is that the domain of the log function does not include 0. In other words, log0 is undefined.

]]>x=0 raise to 0.taking log,

log x=log0 raise to 0 or

log x=0 log0

log x=0[since 0* any number = 0)

but, log 1=0

so, x=1]]>