Final answer:
The value of the expression | m² n² | when m = -5 and n = 3 is found by squaring the numbers, multiplying the squares together, and taking the absolute value, resulting in 225.
Step-by-step explanation:
To find the value of the expression | m² n² | when m = -5 and n = 3, you need to substitute these values into the expression and simplify. First, calculate the squares of m and n:
n² = 3² = 9
m² n² = 25 × 9 = 225
| m² n² | = | 225 | = 225
The absolute value of any real number is the number itself if it is positive or zero, and the opposite of the number if it is negative. Since 225 is positive, the absolute value is 225.
Therefore, the value of the expression | m² n² | when m = -5 and n = 3 is 225.