SOLUTION: Calculate (2+i)^7. Give your answer in a+bi form

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Question 1083283: Calculate (2+i)^7. Give your answer in a+bi form
Found 4 solutions by MathLover1, Alan3354, Boreal, math_helper:
Answer by MathLover1(20850)   (Show Source):
You can put this solution on YOUR website!

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Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website!
Calculate (2+i)^7. Give your answer in a+bi form
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Step 1, find (2+i)^2
Step 2, multiply that by (2+i) --> (2+i)^3
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Step 3, square that --> (2+i)^6
Step 4, multiply that by (2+i) --> (2+i)^7
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The practice will do you good.
I don't need any.

Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website!
1-7-21-35-35-21-7-1
(2^7+7*2^6*I+21*2^5*i^2+35*2^4*i^3+35*2^3*i^4*+21*2^2*i^5+7*2*i^6*i^7/////i^2=-1;i^3=-i, i^4=1
128+448i-672-560i+280+84i-14-i
-278+532i-561i=
-278-29i ANSWER

Answer by math_helper(2461)   (Show Source):
You can put this solution on YOUR website!
Start by writing 2+i in polar form, because in that form the ^7 part is easier to handle:
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= <<< 5^(7/2) * e^(i*185.9557)
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