Solve -2k^5*p^6*1/4p^5*3k

$$- 2 k ^ { 5 } \times p ^ { 6 } \times \frac { 1 } { 4 } p ^ { 5 } \times 3 k$$

Evaluate

$$-\frac{3k^{6}p^{11}}{2}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 5 and 1 to get 6.

$$-2k^{6}p^{6}\times \frac{1}{4}p^{5}\times 3$$

To multiply powers of the same base, add their exponents. Add 6 and 5 to get 11.

$$-2k^{6}p^{11}\times \frac{1}{4}\times 3$$

Multiply -2 and \frac{1}{4} to get -\frac{1}{2}.

$$-\frac{1}{2}k^{6}p^{11}\times 3$$

Multiply -\frac{1}{2} and 3 to get -\frac{3}{2}.

$$-\frac{3}{2}k^{6}p^{11}$$

Differentiate w.r.t. k

$$-9k^{5}p^{11}$$