Final answer:
To simplify the expression 4∜(100m¹²n⁴), we need to simplify the square root and combine like terms. The simplified expression is 40m^6n².
Step-by-step explanation:
To simplify the expression 4√(100m¹²n⁴) we need to simplify the square root and combine like terms. The square root of 100 is 10, so the expression becomes:
4 * 10 * m^(12/2) * n²
Simplifying further, we have:
40 * m^6 * n²
Therefore, the simplified expression is 40m^6n².