inal answer:
By substituting m = -2 and n = 5 into the expression |m² -7| + n², we find that the value of the expression is 28.
Step-by-step explanation:
When considering the expression |m² -7| + n² and substituting m = -2 and n = 5, we first evaluate the absolute value part of the expression. Since m is negative, m² becomes positive because the square of a negative number is a positive number. Therefore, (-2)² = 4. We subtract 7 from 4 to get -3. The absolute value of -3 is 3. Adding this to n², which is 5² or 25, gives us a total of 28. Hence, the value of the expression is 28.