The value of the given complex number is \(-i\)
The given complex number:
\(i = \sqrt{-1}\)
To find:
The value of the given complex number is calculated as follows:
\(i = \sqrt{-1} \\\\i^3 \ can \ be \ written \ as \ (i^2)\times (i)\\\\(i^2)\times (i) =( \sqrt{-1} )^2 \times \sqrt{-1} \\\\(i^2)\times (i) = -1 \times \sqrt{-1} \\\\(i^2)\times (i) = -1 \times i\\\\(i^2)\times (i) = -i\)
Thus, the value of \(i^3 \ is \ -i\)
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