SOLUTION: how do you solve/simplify i to the 34th power? ~thanks!

Question 392293: how do you solve/simplify
i to the 34th power?
~thanks!
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
how do you solve/simplify
i to the 34th power?
---------------
The powers of i are cyclic.
i = 1
i^2 = -1
i^3 = -i
i^4 = 1
---------
i^34 = i^32 * i^2
= (i^4)^8 * i^2
= 1^8 * i^2
= i^2
= -1
-----------
For i^n, divide n by 4 and keep the remainder
= i^remainder

RELATED QUESTIONS
How do you compute "i" to the 34th... (answered by venugopalramana)

How do I simplify this (-4x raised the 6power)(7x raised to the 12th power) (answered by stanbon)

Simplify and write the answer with all exponents positive. w -1power t -3power s/w... (answered by mangopeeler07)

Simplify M4power(N -3power)2power/(M -2power)-3power/(M-4power N 8power/N 8power M... (answered by ankor@dixie-net.com)

The problem states: Find the domain of the following. f(t)=log(t-5) g(x)=5e xpower (answered by stanbon)

how do you solve this problem 24c to the thirdpower d over 36 c to the second... (answered by Alan3354)

how do you simplify i to the 67... (answered by nerdybill)

How do I solve I to the 11th power? thanks (answered by Alan3354)

Simplify (20 x 10 -4power)(4 x 10 to 9power)/3,200 x 10... (answered by stanbon)