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

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

Evaluate

$$-8m^{6}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 3 and 3 to get 6.

$$2m^{6}\left(-4\right)$$

Multiply 2 and -4 to get -8.

$$-8m^{6}$$

Differentiate w.r.t. m

$$-48m^{5}$$

Steps Using Definition of a Derivative

To multiply powers of the same base, add their exponents. Add 3 and 3 to get 6.

$$\frac{\mathrm{d}}{\mathrm{d}m}(2m^{6}\left(-4\right))$$

Multiply 2 and -4 to get -8.

$$\frac{\mathrm{d}}{\mathrm{d}m}(-8m^{6})$$

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

$$6\left(-8\right)m^{6-1}$$

Multiply 6 times -8.

$$-48m^{6-1}$$

Subtract 1 from 6.

$$-48m^{5}$$