∵|a-b|≥0且|b+3|≥0且(c+2)²≥0∴a-b=0且b+3=0且c+2=0解得:a=b,b=-3,c=-2∴[(a+c)^2023]²+b²=[(-3-2)^2023]² + (-3)²=(-5)^4046 + 9=5^4046 + 9