Solve AAA

$$A A A$$

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.

$$3A^{2}$$