(-i2015)2016

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 (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 (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