Solve p*p*p

$$p \times p \times p$$

Evaluate

$$p^{3}$$

Steps Using Product of Powers Property

Use the rules of exponents to simplify the expression.

$$p^{1}p^{1}p^{1}$$

Use the Multiplication Rule for Exponents.

$$p^{1+1+1}$$

Add the exponents 1 and 1.

$$p^{2+1}$$

Add the exponents 2 and 1.

$$p^{3}$$

Differentiate w.r.t. p

$$3p^{2}$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}p}(p^{2}p)$$

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

$$\frac{\mathrm{d}}{\mathrm{d}p}(p^{3})$$

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

$$3p^{3-1}$$

Subtract 1 from 3.

$$3p^{2}$$