Solve x^3x^4x^2

$$x ^ { 3 } x ^ { 4 } x ^ { 2 }$$

Evaluate

$$x^{9}$$

Steps Using Product of Powers Property

Use the rules of exponents to simplify the expression.

$$x^{3}x^{4}x^{2}$$

Use the Multiplication Rule for Exponents.

$$x^{3+4+2}$$

Add the exponents 3 and 4.

$$x^{7+2}$$

Add the exponents 7 and 2.

$$x^{9}$$

Differentiate w.r.t. x

$$9x^{8}$$

Steps Using Definition of a Derivative

To multiply powers of the same base, add their exponents. Add 3 and 4 to get 7.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{7}x^{2})$$

To multiply powers of the same base, add their exponents. Add 7 and 2 to get 9.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{9})$$

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

$$9x^{9-1}$$

Subtract 1 from 9.

$$9x^{8}$$