The value of the given complex number is [tex]-i[/tex]
The given complex number:
[tex]i = \sqrt{-1}[/tex]
To find:
The value of the given complex number is calculated as follows:
[tex]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[/tex]
Thus, the value of [tex]i^3 \ is \ -i[/tex]
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