Solve r*r*r

$$r \times r \times r$$

Evaluate

$$r^{3}$$

Steps Using Product of Powers Property

Use the rules of exponents to simplify the expression.

$$r^{1}r^{1}r^{1}$$

Use the Multiplication Rule for Exponents.

$$r^{1+1+1}$$

Add the exponents 1 and 1.

$$r^{2+1}$$

Add the exponents 2 and 1.

$$r^{3}$$

Differentiate w.r.t. r

$$3r^{2}$$

Steps Using Definition of a Derivative

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

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

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

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

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

$$3r^{3-1}$$

Subtract 1 from 3.

$$3r^{2}$$