Solve 36mk^2/9mk

$$\frac { 36 m k ^ { 2 } } { 9 m k }$$

Evaluate

$$4k$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{36^{1}m^{1}k^{2}}{9^{1}m^{1}k^{1}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$\frac{36^{1}}{9^{1}}m^{1-1}k^{2-1}$$

Subtract 1 from 1.

$$\frac{36^{1}}{9^{1}}m^{0}k^{2-1}$$

For any number a except 0, a^{0}=1.

$$\frac{36^{1}}{9^{1}}k^{2-1}$$

Subtract 1 from 2.

$$\frac{36^{1}}{9^{1}}k^{1}$$

Divide 36 by 9.

$$4k$$

Differentiate w.r.t. k

$$4$$

Steps Using Definition of a Derivative

Cancel out 9km in both numerator and denominator.

$$\frac{\mathrm{d}}{\mathrm{d}k}(4k)$$

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

$$4k^{1-1}$$

Subtract 1 from 1.

$$4k^{0}$$

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

$$4\times 1$$

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

$$4$$