Final answer:
To simplify the expression 512k² ÷ 4) 512m³, divide the coefficients and subtract the exponents of the variables. The simplified expression is 128k²-³.
Step-by-step explanation:
To simplify the expression 512k² ÷ 4) 512m³, we can divide the coefficients and subtract the exponents of the variables.
So, 512 ÷ 4 = 128 and k² ÷ m³ = k²-m³ = k²-³.
Therefore, the simplified expression is 128k²-³.