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COMPLEX NUMBERS AND QUADRATIC EQUATIONS — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSCOMPLEX NUMBERS AND QUADRATIC EQUATIONS2 Marks
Question
Express the (-i)(2i)$\left (- \frac 18 i\right)^3$ in the form of a + bi:
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Answer

(-i)(2i)$\left (- \frac 18 i\right)^3$ = $2i^2 \times \frac 1{8\times 8\times 8} \times i^3$ = $2 \times \frac 1{8\times 8\times 8} \times i^5$
$= \frac 1{256} (i^2)^2$i
$i = \frac {1}{256} i$

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