If A is the largest negative integer, find the value of A's 2003 power plus A's 2004 power plus A's 2005 power plus A's 2006 power

If A is the largest negative integer, find the value of A's 2003 power plus A's 2004 power plus A's 2005 power plus A's 2006 power

The maximum negative integer is -1
A=-1
(-1)^2003=-1
(-1)^2004=1
(-1)^2005=-1
(-1)^2006=1
(-1)+1+(-1)+1=0
The value of A's 2003 power plus A's 2004 power plus A's 2005 power plus A's 2006 power is:0

If a is the largest negative integer, find the value of the 2003 power of a + the 2004 power of a + the 2005 power of a + the 2006 power of a

The largest negative integer is -1
So a=-1-1 to the odd power is -1 to the even power is 1
A to the 2003 power + a to the 2004 power + a to the 2005 power + a to the 2006 power
=-1+1-1+1
=0