Solve -6k^6*3k^3

$$- 6 k ^ { 6 } \times 3 k ^ { 3 }$$

Evaluate

$$-18k^{9}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 6 and 3 to get 9.

$$-6k^{9}\times 3$$

Multiply -6 and 3 to get -18.

$$-18k^{9}$$

Differentiate w.r.t. k

$$-162k^{8}$$

Steps Using Definition of a Derivative

To multiply powers of the same base, add their exponents. Add 6 and 3 to get 9.

$$\frac{\mathrm{d}}{\mathrm{d}k}(-6k^{9}\times 3)$$

Multiply -6 and 3 to get -18.

$$\frac{\mathrm{d}}{\mathrm{d}k}(-18k^{9})$$

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

$$9\left(-18\right)k^{9-1}$$

Multiply 9 times -18.

$$-162k^{9-1}$$

Subtract 1 from 9.

$$-162k^{8}$$