Three non-equivalent rational numbers can be expressed in the form of 1, a+b, a and 0, a respectively. B, b, then a2000+b2001=______.

Three non-equivalent rational numbers can be expressed in the form of 1, a+b, a and 0, a respectively. B, b, then a2000+b2001=______.

The three numbers are not equal,
A=0,
A+b=0,
A=-b, a
B =-1,
These three numbers 1, a+b, a is 1,0, a;
0, A
B, b is,0,-1, b.
B =1a =-1,
A2000+b2001=(-1)2000+12001=2.
Therefore, the answer is:2.

The three numbers are not equal,
A=0,
A+b=0,
A=-b, a
B =-1,
These three numbers 1, a+b, a are 1,0, a;
0, A
B, b is,0,-1, b.
B =1a =-1,
A2000+b2001=(-1)2000+12001=2.
Therefore, the answer is:2.

If three non-equivalent rational numbers can be expressed as 1, a, a+b form can be expressed as 0, b, a/b form, find the value of 2n+1 power-b 2n power of a (n is a positive integer) thank you 、、、 If three non-equivalent rational numbers can be expressed as 1, a, a form of a+b can be expressed as 0, b, a/b, find the value of 2n+1 power of a -2n power of b (n is a positive integer)、、、

The result is -2
According to the meaning of the problem, one of b and a/b must be 1, but it is impossible that a/b is 1, otherwise a and b are equal, so b=1; similarly, one of a and a+b must be 0, but it is impossible that a is 0, otherwise there are two 0 in 0, b, a/b, so a+b is 0, then a=-1, so the original-1=-2.

The result is -2
According to the meaning of the problem, one of b and a/b must be 1, but it is impossible that a/b is 1, otherwise a and b are equal, so b=1; similarly, one of a and a+b must be 0, but it is impossible that a is 0, otherwise there are two 0 in 0, b, a/b, so a+b is 0, then a=-1, so the original formula =-1-1=-2.