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-1. This is a result of Euler's formula.

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Q: What does e raised to the i times pi equal?
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Related questions

What is greater of e raised to pi and pi raised to e?

epi = 23.140692632779. pie = 22.459157718361. Thus, epi is greater.


Is a power a whole number?

Not necessarily. i times pi is not a whole number, and yet e to the power of i times pi is equal to -1.


Why is Euler's formula important?

Euler's formula is important because it relates famous constants, such as pi, zero, Euler's number 'e', and an imaginary number 'i' in one equation. The formula is (e raised to the i times pi) plus 1 equals 0.


How can you prove that yis equal to e raise to the power xlny?

Euler's constant, e, has some basic rules when used in conjunction with logs. e raised to x?æln(y),?æby rule is equal to (e raised to ln(y) raised to x). e raised to ln (y) is equal to just y. Thus it becomes equal to y when x = 1 or 0.


How do you manually calculate i raised to the power of i?

by euler: i=ei(pi)/2 therifore ii = (ei(pi)/2)i=ei^2(pi)/2=e-(pi)/2 ~0.208


E raised to the power of x equal 10?

It is possible.


What is ten raised to the with power?

Using Euler's relation, we know that e^(i*n*pi) = cos(n*pi) + i*sin(n*pi) where n is an integer. We also know that we can rewrite 10 as e raised to a specific power, namely e^(ln(10)). So substituting this back into 10^i and then applying Euler's relation, we obtain 10^i = (e^(ln(10)))^i = (e^(i*ln(10))) = cos(ln(10)) + i*sin(ln(10)).


Pi is equal to 3.14 then what is mc2 equal to?

E=mc2 =0.111x 300,000,000x 300,000,000= 10,000,000,000,000,000 (10 quadrillon) joules.


What is e to the power of you times pi?

'e' is an imaginary number, multiplied by anything gives an imaginary result


What is the anti derivative of e raised to 6?

Well the number e, raised to 6 (e^6) is just a number (a constant), so you integrate a constant times dx gives you that constant times x + C --> x*e^6 + C


What is e plus pi plus pi plus pi plus e plus e plus e?

About 20.29791


Is e to the pi rational?

e^pi ~ 23.14069.............., not rational