SOLUTION: 112.55=100(1 + i)^4 I understand the first part 12.55=(1 + i)^4 but i don't understand what to do with the exponent now

Algebra ->  Algebra  -> Exponents -> SOLUTION: 112.55=100(1 + i)^4 I understand the first part 12.55=(1 + i)^4 but i don't understand what to do with the exponent now      Log On

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Question 157802: 112.55=100(1 + i)^4
I understand the first part
12.55=(1 + i)^4
but i don't understand what to do with the exponent now
Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
12.55=%281+%2B+i%29%5E4 Start with the given equation


root%284%2C12.55%29=1+%2B+i Take the fourth root of both sides to eliminate the exponent 4


1.882=1+%2B+i Take the fourth root of 12.55 to get 1.882 (note: this is an approximate value)


1.882-1=+i Subtract 1 from both sides


0.882=+i Subtract


So the solution is approximately i=0.882