Solve 16mquadtext{(c)}17mquadtext{(d)}20m

$$16 m \quad \text { (c) } 17 m \quad \text { (d) } 20 m$$

Evaluate

$$5440cdm^{3}$$

Solution Steps

Multiply m and m to get m^{2}.

$$16m^{2}c\times 17d\times 20m$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$16m^{3}c\times 17d\times 20$$

Multiply 16 and 17 to get 272.

$$272m^{3}cd\times 20$$

Multiply 272 and 20 to get 5440.

$$5440m^{3}cd$$

Differentiate w.r.t. c

$$5440dm^{3}$$