(1+I)^-3 express the term in a+ib and find the value of a and b
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Answer:
a=(-1/4) and b= (-1/4)
Step-by-step explanation:
(1+i)^-3 can be written as 1/(1+i)^3
= 1/(1+3i-3-i) ->using (a+b)^3 formula
= 1/(2i-2)
By rationalising the given Complex number (multiplying and dividing with (2i+2),
(2i+2)/[(2i-2)(2+2)]
(2i+2)/(-8)
= (-i/4)-i/4 is the required complex number.
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