Solve 2dm*5dm*8dm

$$2 d m \times 5 d m \times 8 d m$$

Evaluate

$$80\left(dm\right)^{3}$$

Solution Steps

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

$$2d^{2}m\times 5m\times 8dm$$

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

$$2d^{3}m\times 5m\times 8m$$

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

$$2d^{3}m^{2}\times 5\times 8m$$

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

$$2d^{3}m^{3}\times 5\times 8$$

Multiply 2 and 5 to get 10.

$$10d^{3}m^{3}\times 8$$

Multiply 10 and 8 to get 80.

$$80d^{3}m^{3}$$

Differentiate w.r.t. d

$$240d^{2}m^{3}$$