Not necessarily. i times pi is not a whole number, and yet e to the power of i times pi is equal to -1.
The answer depends on what the question is!
i (taken to be sqrt(-1) for this question) requires that you know a bit about writing complex numbers. i = e^(i*pi/2) so i^i = (e^(i*pi/2))^i which equals e^(i*i*pi/2) since i*i = -1 we get e^(-pi/2) so i^i = e^(-pi/2) which is roughly .207879576
-1. It is a version of Euler's formula.
by euler: i=ei(pi)/2 therifore ii = (ei(pi)/2)i=ei^2(pi)/2=e-(pi)/2 ~0.208
Not necessarily. i times pi is not a whole number, and yet e to the power of i times pi is equal to -1.
The answer depends on what the question is!
It is NOT rational, but it IS real.Start with Euler's formula: e^ix = cos(x) + i*sin(x) for all x.When x = pi/2,e^(i*pi/2) = cos(pi/2) + i*sin(pi/2) = 0 + i*1 = ior i = e^(i*pi/2)Raising both sides to the power i givesi^i = e^[i*(i*pi/2)] = e^[i*i*pi/2]and since i*i = -1,i^i = e^(-pi/2) = 0.20788, approx.
i (taken to be sqrt(-1) for this question) requires that you know a bit about writing complex numbers. i = e^(i*pi/2) so i^i = (e^(i*pi/2))^i which equals e^(i*i*pi/2) since i*i = -1 we get e^(-pi/2) so i^i = e^(-pi/2) which is roughly .207879576
you said 4 pi times 6 to the second power.thats 452.38934236
-1. It is a version of Euler's formula.
(pi) R2 x 34 = 81 pi R2
mass of proton is 6 x pi raised to power 5 times mass of electron
Because Euler proved it! (No, I can't!)
by euler: i=ei(pi)/2 therifore ii = (ei(pi)/2)i=ei^2(pi)/2=e-(pi)/2 ~0.208
-1. This is a result of Euler's formula.
That really depends what you are raising to the power i.