Solve (-4k^4)(3k^3)

$$( - 4 k ^ { 4 } ) ( 3 k ^ { 3 } )$$

Evaluate

$$-12k^{7}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 4 and 3 to get 7.

$$-4k^{7}\times 3$$

Multiply -4 and 3 to get -12.

$$-12k^{7}$$

Differentiate w.r.t. k

$$-84k^{6}$$

Steps Using Definition of a Derivative

To multiply powers of the same base, add their exponents. Add 4 and 3 to get 7.

$$\frac{\mathrm{d}}{\mathrm{d}k}(-4k^{7}\times 3)$$

Multiply -4 and 3 to get -12.

$$\frac{\mathrm{d}}{\mathrm{d}k}(-12k^{7})$$

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

$$7\left(-12\right)k^{7-1}$$

Multiply 7 times -12.

$$-84k^{7-1}$$

Subtract 1 from 7.

$$-84k^{6}$$