Three unequal rational numbers can be expressed as either 1 A + B a or 0 B / A Try to find the value of 2011 power of a + 2012 power of B

Three unequal rational numbers can be expressed as either 1 A + B a or 0 B / A Try to find the value of 2011 power of a + 2012 power of B

Three mutually unequal rational numbers can be expressed in the form of 1, a + B, a, or 0, B / A, B
Then 1 = B / A, or 1 = B
If 1 = B / A, then a = B, then the form of 1, a + B, a is 1,2a, a,
The form of 0, B / A, B is 0,1, a
Then 2A = 0, then a = 0, then 1, a + B, the form of a is 1,0,0, which is contradictory to "three unequal rational numbers"
If 1 = B, then the form of 1, a + B, a is 1, a + 1, a,
And the form of 0, B / A, B is 0,1 / A, 1
Then a + 1 = 0, or a = 0
Then a = - 1, or a = 0
When a = 0, 1 / A is meaningless, so a ≠ 0
So a = - 1
Comprehensive knowledge a = - 1, B = 1
2011 power of a + 2012 power of B
=2011 power of (- 1) + 2012 power of 1
=-1+1=0