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alukav5142 [94]
3 years ago
5

Use the identity i2 = -1 to compute the powers of i and complete the table.

Mathematics
1 answer:
mylen [45]3 years ago
7 0
Hint:    \bf \begin{array}{llll}
i^{3}\to & i^2\cdot i^1\\\\

i^{4}\to & i^2\cdot i^2\\\\

i^{5}\to & i^2\cdot i^2\cdot i^1\\\\

i^{6}\to & i^2\cdot i^2\cdot i^2\\\\

i^{7}\to & i^2\cdot i^2\cdot i^2\cdot i^1\\\\

i^{4n}\to & (i^{4})^n\\\\

i^{4n+1}\to & (i^4)^n\cdot i^1\\\\

i^{4n+2}\to & (i^4)^n\cdot i^2\\\\

i^{4n+3}\to & (i^4)^n\cdot i^3
\end{array}
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