Express the given complex number in the form : a + ib : ({1}{3}+3i)^3

Question

Express the given complex number in the form : a + ib \(( \dfrac{1}{3}+3i)^3\)

Asked by Abhisek | 1 year ago | 67

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Accepted Answer

Evaluate the complex number

\( ( \dfrac{1}{3}+3i)^3\)

= \( (\dfrac{1}{3})^3+(3i)^3+\dfrac{3}{3}3i (\dfrac{1}{3}+3i)\)

\( ( \dfrac{1}{3}+3i)^3\)

= \( \dfrac{1}{27}-(27i)+3i (\dfrac{1}{3}+3i)\)

\( ( \dfrac{1}{3}+3i)^3\)

= \( \dfrac{-242}{27}-26i\)

Answered by Pragya Singh | 1 year ago