若|m+2|与（n—5）的2次方互为相反数,求m的n次方的值.

题目

若|m+2|与（n—5）的2次方互为相反数,求m的n次方的值.

答案

|m + 2| + (n-5)^2 = 0 ==> m+2 =0, n-5 = 0 ==> m = -2, n = 5 m^n =(-2)^5 = - 32