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A-level Mathematics/MEI/FP1/Complex Numbers/solutions to powers of j questions
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A-level Mathematics
|
MEI
|
FP1
|
Complex Numbers
1.
j
9
=
(
j
5
)
(
j
4
)
=
(
j
)
(
1
)
=
j
{\displaystyle j^{9}=(j^{5})(j^{4})=(j)(1)=j}
2.
j
22
=
(
j
4
)
(
j
4
)
(
j
4
)
(
j
4
)
(
j
4
)
(
j
2
)
=
(
1
)
(
1
)
(
1
)
(
1
)
(
1
)
(
j
2
)
=
j
2
=
−
1
{\displaystyle j^{22}=(j^{4})(j^{4})(j^{4})(j^{4})(j^{4})(j^{2})=(1)(1)(1)(1)(1)(j^{2})=j^{2}=-1}
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