Solve 250*400mm^2

$$250 \times 400 mm ^ { 2 }$$

Evaluate

$$100000m^{3}$$

Solution Steps

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

$$250\times 400m^{3}$$

Multiply 250 and 400 to get 100000.

$$100000m^{3}$$

Differentiate w.r.t. m

$$300000m^{2}$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}m}(250\times 400m^{3})$$

Multiply 250 and 400 to get 100000.

$$\frac{\mathrm{d}}{\mathrm{d}m}(100000m^{3})$$

The derivative of ax^{n} is nax^{n-1}.

$$3\times 100000m^{3-1}$$

Multiply 3 times 100000.

$$300000m^{3-1}$$

Subtract 1 from 3.

$$300000m^{2}$$