Solve m^2m^3m

$$m ^ { 2 } m ^ { 3 } m$$

Evaluate

$$m^{6}$$

Steps Using Product of Powers Property

Use the rules of exponents to simplify the expression.

$$m^{2}m^{3}m^{1}$$

Use the Multiplication Rule for Exponents.

$$m^{2+3+1}$$

Add the exponents 2 and 3.

$$m^{5+1}$$

Add the exponents 5 and 1.

$$m^{6}$$

Differentiate w.r.t. m

$$6m^{5}$$

Steps Using Definition of a Derivative

To multiply powers of the same base, add their exponents. Add 2 and 3 to get 5.

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

To multiply powers of the same base, add their exponents. Add 5 and 1 to get 6.

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

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

$$6m^{6-1}$$

Subtract 1 from 6.

$$6m^{5}$$