Final answer:
To multiply and simplify the expression -7mk³(2m²k+m⁴k²), apply the distributive property and combine like terms by adding exponents.
Step-by-step explanation:
To multiply and simplify the expression -7mk³(2m²k+m⁴k²), apply the distributive property. Multiply -7mk³ by 2m²k to get -14m³k⁴. Multiply -7mk³ by m⁴k² to get -7m⁵k⁵. Then combine like terms by adding the exponents of m and k. The final simplified expression is -14m³k⁴ - 7m⁵k⁵.