Solve -8m^2*(-4m^3)

$$- 8 m ^ { 2 } \times ( - 4 m ^ { 3 } )$$

Evaluate

$$32m^{5}$$

Solution Steps

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

$$-8m^{5}\left(-4\right)$$

Multiply -8 and -4 to get 32.

$$32m^{5}$$

Differentiate w.r.t. m

$$160m^{4}$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}m}(-8m^{5}\left(-4\right))$$

Multiply -8 and -4 to get 32.

$$\frac{\mathrm{d}}{\mathrm{d}m}(32m^{5})$$

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

$$5\times 32m^{5-1}$$

Multiply 5 times 32.

$$160m^{5-1}$$

Subtract 1 from 5.

$$160m^{4}$$