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Fourth Power Rule
Reference
> Algebra: Imaginary Numbers
Description
The Fourth Power Rule states that:
i
4
=
i
2
i
2
=
(
−
1
)
(
−
1
)
=
1
{i}^{4}={i}^{2}{i}^{2}=(-1)(-1)=1
i
4
=
i
2
i
2
=
(
−
1
)
(
−
1
)
=
1
Examples
i
4
+
2
{i}^{4}+2
i
4
+
2
1
Use
Fourth Power Rule
:
i
4
=
i
2
i
2
=
(
−
1
)
(
−
1
)
=
1
{i}^{4}={i}^{2}{i}^{2}=(-1)(-1)=1
i
4
=
i
2
i
2
=
(
−
1
)
(
−
1
)
=
1
.
1
+
2
1+2
1
+
2
2
Simplify.
3
3
3
Done
3
English
Fourth Power Rule