Solve 2p^{2}q^{6}r^4*-3p^8q^5r^2

$$2 p ^ { 2 } q ^ { 6 } r ^ { 4 } \cdot - 3 p ^ { 8 } q ^ { 5 } r ^ { 2 }$$

Evaluate

$$-6r^{6}p^{10}q^{11}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 8 to get 10.

$$2p^{10}q^{6}r^{4}\left(-3\right)q^{5}r^{2}$$

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

$$2p^{10}q^{11}r^{4}\left(-3\right)r^{2}$$

To multiply powers of the same base, add their exponents. Add 4 and 2 to get 6.

$$2p^{10}q^{11}r^{6}\left(-3\right)$$

Multiply 2 and -3 to get -6.

$$-6p^{10}q^{11}r^{6}$$

Differentiate w.r.t. p

$$-60r^{6}p^{9}q^{11}$$