Final answer:
The nonpermissible replacement for 'n' in the expression '-2/5n' is 0, as substituting n = 0 would lead to division by zero, which is undefined in mathematics.
Step-by-step explanation:
To find the nonpermissible replacement for n in the expression -2/5n, we must determine the value of n that would make the denominator equal to zero, since division by zero is undefined in mathematics. In this case, the denominator is 5n, so we set this equal to zero and solve for n:
5n = 0
To find the value of n, we divide both sides of the equation by 5:
n = 0/5
n = 0
Thus, the nonpermissible replacement for n in the expression -2/5n is 0 because if n were equal to 0, the expression would be undefined due to division by zero.