Solve m^2*m^2m

$$m ^ { 2 } \times m ^ { 2 } m$$

Evaluate

$$m^{5}$$

Steps Using Product of Powers Property

Use the rules of exponents to simplify the expression.

$$m^{2}m^{2}m^{1}$$

Use the Multiplication Rule for Exponents.

$$m^{2+2+1}$$

Add the exponents 2 and 2.

$$m^{4+1}$$

Add the exponents 4 and 1.

$$m^{5}$$

Differentiate w.r.t. m

$$5m^{4}$$

Steps Using Definition of a Derivative

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

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

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

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

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

$$5m^{5-1}$$

Subtract 1 from 5.

$$5m^{4}$$