Solve 16kp^2/2kp

$$\frac { 16 k p ^ { 2 } } { 2 k p }$$

Evaluate

$$8p$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{16^{1}k^{1}p^{2}}{2^{1}k^{1}p^{1}}$$

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

$$\frac{16^{1}}{2^{1}}k^{1-1}p^{2-1}$$

Subtract 1 from 1.

$$\frac{16^{1}}{2^{1}}k^{0}p^{2-1}$$

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

$$\frac{16^{1}}{2^{1}}p^{2-1}$$

Subtract 1 from 2.

$$\frac{16^{1}}{2^{1}}p^{1}$$

Divide 16 by 2.

$$8p$$

Differentiate w.r.t. p

$$8$$

Steps Using Definition of a Derivative

Cancel out 2kp in both numerator and denominator.

$$\frac{\mathrm{d}}{\mathrm{d}p}(8p)$$

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

$$8p^{1-1}$$

Subtract 1 from 1.

$$8p^{0}$$

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

$$8\times 1$$

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

$$8$$