Solve c^2*c^2*c

$$c ^ { 2 } \cdot c ^ { 2 } \cdot c$$

Evaluate

$$c^{5}$$

Steps Using Product of Powers Property

Use the rules of exponents to simplify the expression.

$$c^{2}c^{2}c^{1}$$

Use the Multiplication Rule for Exponents.

$$c^{2+2+1}$$

Add the exponents 2 and 2.

$$c^{4+1}$$

Add the exponents 4 and 1.

$$c^{5}$$

Differentiate w.r.t. c

$$5c^{4}$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}c}(c^{4}c)$$

To multiply powers of the same base, add their exponents. Add 4 and 1 to get 5.

$$\frac{\mathrm{d}}{\mathrm{d}c}(c^{5})$$

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

$$5c^{5-1}$$

Subtract 1 from 5.

$$5c^{4}$$