Solve a*a*a=

$$a \cdot a \cdot a =$$

Evaluate

$$a^{3}$$

Steps Using Product of Powers Property

Use the rules of exponents to simplify the expression.

$$a^{1}a^{1}a^{1}$$

Use the Multiplication Rule for Exponents.

$$a^{1+1+1}$$

Add the exponents 1 and 1.

$$a^{2+1}$$

Add the exponents 2 and 1.

$$a^{3}$$

Differentiate w.r.t. a

$$3a^{2}$$

Steps Using Definition of a Derivative

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

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

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

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

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

$$3a^{3-1}$$

Subtract 1 from 3.

$$3a^{2}$$