Solve (-8s^12)(6s^47)

$$( - 8 s ^ { 12 } ) ( 6 s ^ { 47 } )$$

Evaluate

$$-48s^{59}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 12 and 47 to get 59.

$$-8s^{59}\times 6$$

Multiply -8 and 6 to get -48.

$$-48s^{59}$$

Differentiate w.r.t. s

$$-2832s^{58}$$

Steps Using Definition of a Derivative

To multiply powers of the same base, add their exponents. Add 12 and 47 to get 59.

$$\frac{\mathrm{d}}{\mathrm{d}s}(-8s^{59}\times 6)$$

Multiply -8 and 6 to get -48.

$$\frac{\mathrm{d}}{\mathrm{d}s}(-48s^{59})$$

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

$$59\left(-48\right)s^{59-1}$$

Multiply 59 times -48.

$$-2832s^{59-1}$$

Subtract 1 from 59.

$$-2832s^{58}$$