Math, asked by TANU81, 11 months ago

Express the following in the terms of a+ib

(-i)(2i)(-1/8i)³

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Answers

Answered by HJ23
5

Answer:

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Step-by-step explanation:

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Answered by BrainlyHulk
7

Answer:

Here ,  {i}^{2}  = ( - 1) \:   </strong><strong>,</strong><strong>\: {i}^{3}  =  (- i)

( - i)(2i)( \frac{ - 1}{8i}  ){}^{3}   \\ \\  =  (-  {i}^{2} )( 2) \times  \frac{ - 1}{8 {}^{3}i {}^{3}  }  \\  \\  = 2 \times  \frac{ - 1}{512 \times ( - i)}  \\  \\  =  \frac{1}{256i}   \\ \\ multiply \: i \: in \: denominator \: and \: numerator \\  \\  =  \frac{1}{256i}  \times  \frac{i}{i}   \\ \\  =  \frac{ - i}{256}  \\ \\  = 0 + i( \frac{ - 1}{256} ) = a + ib

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