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

$$( - 3 m ^ { 2 } ) ( 4 m ^ { 3 } )$$

Evaluate

$$-12m^{5}$$

Solution Steps

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

$$-3m^{5}\times 4$$

Multiply -3 and 4 to get -12.

$$-12m^{5}$$

Differentiate w.r.t. m

$$-60m^{4}$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}m}(-3m^{5}\times 4)$$

Multiply -3 and 4 to get -12.

$$\frac{\mathrm{d}}{\mathrm{d}m}(-12m^{5})$$

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

$$5\left(-12\right)m^{5-1}$$

Multiply 5 times -12.

$$-60m^{5-1}$$

Subtract 1 from 5.

$$-60m^{4}$$