Final answer:
The value of the expression m 4n to the power of 2 -5q 4 when m = 5, n = 2, and q = 3 is 260 after substituting the values and simplifying the expression.
Step-by-step explanation:
The student has asked the question: What is the value of m 4n to the power of 2 -5q 4 when m = 5, n = 2, and q = 3? To solve this, we substitute the given values into the expression and simplify it.
- First, replace m, n, and q with their respective values in the expression: 5 * (4*2)2 - 5*3*4.
- Then perform the operations inside the parentheses and the exponentiation: 5 * (8)2 - 60.
- Square the value of 8: 5 * 64 - 60.
- Perform the multiplication: 320 - 60.
- Lastly, subtract to find the final result: 320 - 60 = 260.
Therefore, the value of the expression when m = 5, n = 2, and q = 3 is 260.