Express the given complex number in the form a + ib: i-39

Question

Express the given complex number in the form a + ib: i^-39

Asked by Abhisek | 1 year ago | 57

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Class 11 Maths Complex Numbers and Quadratic Equations Add Answer

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Accepted Answer

i^-39 = \( i^{(-4\times 9)}-3\)

= \( (i^4)^{-9}\times i^{-3}\)

= \( (i^4)^{-9}\times i^{-3}..[i^4=1]\)

\( \dfrac{1}{i^3}=\dfrac{1}{-i}=\dfrac{i}{i^2}=\dfrac{i}{-1}\)

i^-39 = i

Answered by Pragya Singh | 1 year ago