The value of (-0.125) for the 2008th power ×8 for the 2009th power +(-1) for the 2009th power is

The value of (-0.125) for the 2008th power ×8 for the 2009th power +(-1) for the 2009th power is

0

If the rational number a, b, c is an integer, and the 2008 power of |a-b| is +|c-a|2009, then try to find the value of |c-a||a-b||b-c|. If the rational number a, b, c is an integer, and the 2008 power of |a-b| is +|c-a|2009, the value of |c-a||a-b||b-c| is obtained.

A, b, c are integers
So a-b and c-a are integers
The absolute value is 0 or a positive integer
Add to 1
Only 0+1=1
2008 Or 2009 power of 1 and 0 or 1 and 0
So |a-b|=1,|c-a|=0
Or |a-b|=0,|c-a|=1
|A-b|=1,|c-a|=0
Then c-a=0
C=a
Substitute into |a-b|=1
|C-b|=1, so |b-c|=|c-b|=1
So|c-a||a-b||b-c|=0+1+1=2
|A-b|=0,|c-a|=1
Then a-b=0
A = b
Substitute in|c-a|=1
|C-b|=1, so |b-c|=|c-b|=1
So|c-a||a-b||b-c|=1+0+1=2
Zongshang
|C-a||a-b||b-c|=2