SOLUTION: How do I simplify each expression? 1. i^7 2. i^32 and write the definition for i = and i^2 =

Algebra ->  Rational-functions -> SOLUTION: How do I simplify each expression? 1. i^7 2. i^32 and write the definition for i = and i^2 =       Log On


   

Question 459752: How do I simplify each expression? 1. i^7 2. i^32 and write the definition for i = and i^2 =
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
How do I simplify each expression? 1. i^7 2. i^32 and write the definition for i = and i^2 =
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sqrt(-1) = i
i^2 = -1
i^3 = -i
i^4 = 1
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Then the cycle repeats over and over again.
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So i^7 = i^(4+3) = i^4*i^3 = 1*i^3 = = -i
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i^32 = i(4*8) = (i^4)^8 = 1^8 = 1
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Cheers,
Stan H.