Solve b*b*b

$$b \times b \times b$$

Evaluate

$$b^{3}$$

Steps Using Product of Powers Property

Use the rules of exponents to simplify the expression.

$$b^{1}b^{1}b^{1}$$

Use the Multiplication Rule for Exponents.

$$b^{1+1+1}$$

Add the exponents 1 and 1.

$$b^{2+1}$$

Add the exponents 2 and 1.

$$b^{3}$$

Differentiate w.r.t. b

$$3b^{2}$$

Steps Using Definition of a Derivative

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

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

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

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

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

$$3b^{3-1}$$

Subtract 1 from 3.

$$3b^{2}$$