Solve -7w^6*3w^2

$$- 7 w ^ { 6 } \cdot 3 w ^ { 2 }$$

Evaluate

$$-21w^{8}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 6 and 2 to get 8.

$$-7w^{8}\times 3$$

Multiply -7 and 3 to get -21.

$$-21w^{8}$$

Differentiate w.r.t. w

$$-168w^{7}$$

Steps Using Definition of a Derivative

To multiply powers of the same base, add their exponents. Add 6 and 2 to get 8.

$$\frac{\mathrm{d}}{\mathrm{d}w}(-7w^{8}\times 3)$$

Multiply -7 and 3 to get -21.

$$\frac{\mathrm{d}}{\mathrm{d}w}(-21w^{8})$$

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

$$8\left(-21\right)w^{8-1}$$

Multiply 8 times -21.

$$-168w^{8-1}$$

Subtract 1 from 8.

$$-168w^{7}$$