shyannelawless shyannelawless

05-04-2017
Mathematics

contestada

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

i3-

i4-

i5-

i6-

i7-

i4n-

i4n+1-

i4n+2-

i4n+3-

Respuesta :

jdoe0001 jdoe0001

05-04-2017

hint: [tex]\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}[/tex]

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