Answer:
To simplify the expression 24m^7n^5 * 5m^3n * 5m^2n^4 * 8mn^2, we can combine the coefficients and add the exponents of the variables with the same base.
First, let's multiply the coefficients: 24 * 5 * 5 * 8 = 4800.
Next, let's simplify the variables:
m^7 * m^3 * m^2 * m = m^(7+3+2+1) = m^13
n^5 * n * n^4 * n^2 = n^(5+1+4+2) = n^12
Therefore, the simplified expression is 4800m^13n^12.