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| Math Central | Quandaries & Queries |
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Question from sofia, a parent: Compute the given arithmetic expression and give the answer in the form a + bi where a,b element in R. |
Hi Sofia,
I am going to work with 3 - 2i.
(3 - 2i)2 = 32 - 12i + (-2i)2 = 9 - 12i + 4i2 = 9 - 12i - 4 = 5 - 12i
(3 - 2i)3 = (5 - 12i)(3 - 2i) = 15 - 46i + (-12i)(-2i) = 15 - 46i + 24i2 = 15 - 46i - 24 = -9 - 46i
(3 - 2i)5 = (3 - 2i)2(3 - 2i)3 = (5 - 12i)(-9 - 46i) = ···
Now you try (1 - i)5
Harley
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