Solve 9p^3*(-7x^3)*(-6p)*(-4x^4)

$$9 p ^ { 3 } \times ( - 7 x ^ { 3 } ) \times ( - 6 p ) \times ( - 4 x ^ { 4 } )$$

Evaluate

$$-1512p^{4}x^{7}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 3 and 1 to get 4.

$$9p^{4}\left(-7\right)x^{3}\left(-6\right)\left(-4\right)x^{4}$$

To multiply powers of the same base, add their exponents. Add 3 and 4 to get 7.

$$9p^{4}\left(-7\right)x^{7}\left(-6\right)\left(-4\right)$$

Multiply 9 and -7 to get -63.

$$-63p^{4}x^{7}\left(-6\right)\left(-4\right)$$

Multiply -63 and -6 to get 378.

$$378p^{4}x^{7}\left(-4\right)$$

Multiply 378 and -4 to get -1512.

$$-1512p^{4}x^{7}$$

Differentiate w.r.t. x

$$-10584p^{4}x^{6}$$