Solve 14m^-4n^0

$$14 m ^ { - 4 } n ^ { 0 }$$

Evaluate

$$\frac{14}{m^{4}}$$

Solution Steps

Calculate n to the power of 0 and get 1.

$$14m^{-4}\times 1$$

Multiply 14 and 1 to get 14.

$$14m^{-4}$$

Differentiate w.r.t. m

$$-\frac{56}{m^{5}}$$

Steps Using Definition of a Derivative

Calculate n to the power of 0 and get 1.

$$\frac{\mathrm{d}}{\mathrm{d}m}(14m^{-4}\times 1)$$

Multiply 14 and 1 to get 14.

$$\frac{\mathrm{d}}{\mathrm{d}m}(14m^{-4})$$

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

$$-4\times 14m^{-4-1}$$

Multiply -4 times 14.

$$-56m^{-4-1}$$

Subtract 1 from -4.

$$-56m^{-5}$$