Solve 8m^2*mm

$$8 m ^ { 2 } \times m m$$

Evaluate

$$8m^{4}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$8m^{3}m$$

To multiply powers of the same base, add their exponents. Add 3 and 1 to get 4.

$$8m^{4}$$

Differentiate w.r.t. m

$$32m^{3}$$

Steps Using Definition of a Derivative

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$\frac{\mathrm{d}}{\mathrm{d}m}(8m^{3}m)$$

To multiply powers of the same base, add their exponents. Add 3 and 1 to get 4.

$$\frac{\mathrm{d}}{\mathrm{d}m}(8m^{4})$$

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

$$4\times 8m^{4-1}$$

Multiply 4 times 8.

$$32m^{4-1}$$

Subtract 1 from 4.

$$32m^{3}$$