Q (-2)2005 power +(-2)2006 power How to calculate How did the 2005 power of -2 become the 2005 power of +2

(-2)^2005+(-2)^2006
=(-2)^2005+(-2)^2005×(-2)
=(-2)^2005 - 2×(-2)^2005
=-(-2)^2005
=2^2005

The result of calculating (-1/2) to the 2006 power +(-1/2) to the 2005 power is

(-1/2)^2006+(-1/2)^2005
=(1/2)^2006-(1/2)^2005
=(1/2)(1/2)^2005-(1/2)^2005
=(1/2)^2005(1/2-1)
=-(1/2)(1/2)^2005
=-(1/2)^2006

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