One third of the 2006th power multiplied by the 1003th power of minus 9, plus the 669th power of 27 multiplied by the 2007th power of minus one third

One third of the 2006th power multiplied by the 1003th power of minus 9, plus the 669th power of 27 multiplied by the 2007th power of minus one third

(1/3)^2006*(-9)^1003+27^669*(-1/3)^2007
=3^(-2006)*(-3^2006)+3^2007*[-3^(-2007)]
=-1-1
=-2

What is the 2007 power of minus 2 plus the 2006 power of minus 2 Please tell the operation process and results. What is the difference between the 2007 power of minus 2 and the 2006 power of minus 2 Please tell the operation process and results.

2007 Power of 2 can be divided into 2006 power of 2 multiplied by 2
2006 Power of (-2)==2006 power of 2
Therefore, the original equation =2 to the 2006 power multiplied by 2 plus 2 to the 2006 power
=2006 Power of 2 multiplied by (2+1)----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
=2006 Power of 3*2

2007 Power of 2 can be divided into 2006 power of 2 multiplied by 2
2006 Power of (-2)==2006 power of 2
Therefore, the original equation =2 to the 2006 power multiplied by 2 plus 2 to the 2006 power
=2006 Power of 2 multiplied by (2+1)------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
=2006 Power of 3*2