Thread: Elementary my dear Watson.

Originally Posted by RoverP6B

It is more often said than not that the number one raised to any power at all will always result in one. That is to say,..one squared is one. One cubed is one. One raised to the power of one billion is one. Lets not forget negative numbers,...one raised to the power of negative one is one,...to negative 1000 is one....how frustrating. I know...what about zero...one raised to the power of zero....you guessed it...is one.

Is this always the case? What do you think?

Ron.

I thinks it's past your bedtime

Hello Milton,

No one of school age will know the answer. I left school over 20 years ago. Any question on mathematics that I ask you don't have to worry as I already know the answer..

Ron.

Who likes chicken?

Originally Posted by RoverP6B

It is more often said than not that the number one raised to any power at all will always result in one. That is to say,..one squared is one. One cubed is one. One raised to the power of one billion is one. Lets not forget negative numbers,...one raised to the power of negative one is one,...to negative 1000 is one....how frustrating. I know...what about zero...one raised to the power of zero....you guessed it...is one.

Is this always the case? What do you think?

Ron.

Perhaps 1^i would be an exception, however it can't be equated.

I take it that "i" is as in imaginary numbers?

I'll have a half

awabbit6 wrote,..

Perhaps 1^i would be an exception, however it can't be equated.

Hello Paul,

That is partly correct in that the exponent is the square root of minus one, that it is to say 'i'.

However it most certainly can be equated.

Ron.

1 raised to the power of infinity does not equal 1. The correct answer is 'indeterminate'