Solve (-9m^2)(-7m)

$$( - 9 m ^ { 2 } ) ( - 7 m )$$

Evaluate

$$63m^{3}$$

Solution Steps

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

$$-9m^{3}\left(-7\right)$$

Multiply -9 and -7 to get 63.

$$63m^{3}$$

Differentiate w.r.t. m

$$189m^{2}$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}m}(-9m^{3}\left(-7\right))$$

Multiply -9 and -7 to get 63.

$$\frac{\mathrm{d}}{\mathrm{d}m}(63m^{3})$$

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

$$3\times 63m^{3-1}$$

Multiply 3 times 63.

$$189m^{3-1}$$

Subtract 1 from 3.

$$189m^{2}$$