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

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

Evaluate

$$-24p^{5}\left(qr\right)^{6}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 3 to get 5.

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

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

$$-3p^{5}q^{6}r\times 8r^{5}$$

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

$$-3p^{5}q^{6}r^{6}\times 8$$

Multiply -3 and 8 to get -24.

$$-24p^{5}q^{6}r^{6}$$

Differentiate w.r.t. p

$$-120p^{4}\left(qr\right)^{6}$$