Solve 340km*1000m/1km

$$\frac { 340 km \times 1000 m } { 1 km }$$

Evaluate

$$340000m$$

Solution Steps

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

$$\frac{340km^{2}\times 1000}{1km}$$

Cancel out km in both numerator and denominator.

$$340\times 1000m$$

Multiply 340 and 1000 to get 340000.

$$340000m$$

Differentiate w.r.t. m

$$340000$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}m}(\frac{340km^{2}\times 1000}{1km})$$

Cancel out km in both numerator and denominator.

$$\frac{\mathrm{d}}{\mathrm{d}m}(340\times 1000m)$$

Multiply 340 and 1000 to get 340000.

$$\frac{\mathrm{d}}{\mathrm{d}m}(340000m)$$

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

$$340000m^{1-1}$$

Subtract 1 from 1.

$$340000m^{0}$$

For any term t except 0, t^{0}=1.

$$340000\times 1$$

For any term t, t\times 1=t and 1t=t.

$$340000$$