Solve (-8m^2n^3)(-9a^2m*4)

$$( - 8 m ^ { 2 } n ^ { 3 } ) ( - 9 a ^ { 2 } m \times 4 )$$

Evaluate

$$288a^{2}\left(mn\right)^{3}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$-8m^{3}n^{3}\left(-9\right)a^{2}\times 4$$

Multiply -8 and -9 to get 72.

$$72m^{3}n^{3}a^{2}\times 4$$

Multiply 72 and 4 to get 288.

$$288m^{3}n^{3}a^{2}$$

Differentiate w.r.t. n

$$864m^{3}\left(an\right)^{2}$$