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Q1 of 153 Page 13

Express the following complex numbers in the standard form a + i b :
(1 + 2i)^-3

Given:

⇒ a+ib=(1+2i)^-3

⇒

⇒

⇒

We know that i²=-1

⇒

⇒

⇒

⇒

Multiplying and dividing with 3-2i

⇒

⇒

⇒

⇒

⇒

∴ the values of a, b are .

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