Solve x^2*x^2*x^2

$${ x }^{ 2 } \times { x }^{ 2 } \times { x }^{ 2 }$$

Evaluate

$$x^{6}$$

Steps Using Product of Powers Property

Use the rules of exponents to simplify the expression.

$$x^{2}x^{2}x^{2}$$

Use the Multiplication Rule for Exponents.

$$x^{2+2+2}$$

Add the exponents 2 and 2.

$$x^{4+2}$$

Add the exponents 4 and 2.

$$x^{6}$$

Differentiate w.r.t. x

$$6x^{5}$$

Steps Using Definition of a Derivative

To multiply powers of the same base, add their exponents. Add 2 and 2 to get 4.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{4}x^{2})$$

To multiply powers of the same base, add their exponents. Add 4 and 2 to get 6.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{6})$$

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

$$6x^{6-1}$$

Subtract 1 from 6.

$$6x^{5}$$