Simplify (-i^2015)^2016

Math
(-i2015)2016
Rewrite i2015 as (i4)503(i2⋅i).
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Factor out i2012.
(-(i2012i3))2016
Rewrite i2012 as (i4)503.
(-((i4)503i3))2016
Factor out i2.
(-((i4)503(i2⋅i)))2016
(-((i4)503(i2⋅i)))2016
Rewrite i4 as 1.
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Rewrite i4 as (i2)2.
(-(((i2)2)503(i2⋅i)))2016
Rewrite i2 as -1.
(-(((-1)2)503(i2⋅i)))2016
Raise -1 to the power of 2.
(-(1503(i2⋅i)))2016
(-(1503(i2⋅i)))2016
One to any power is one.
(-(1(i2⋅i)))2016
Multiply i2⋅i by 1.
(-(i2⋅i))2016
Rewrite i2 as -1.
(-(-1⋅i))2016
Rewrite -1i as -i.
(–i)2016
Multiply -1 by -1.
(1i)2016
Multiply i by 1.
i2016
Rewrite i2016 as (i4)504.
(i4)504
Rewrite i4 as 1.
Tap for more steps…
Rewrite i4 as (i2)2.
((i2)2)504
Rewrite i2 as -1.
((-1)2)504
Raise -1 to the power of 2.
1504
1504
One to any power is one.
1
Simplify (-i^2015)^2016

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