Solve (-4ab^2c^3)(-3a^5bc^3)

$$( - 4 a b ^ { 2 } c ^ { 3 } ) ( - 3 a ^ { 5 } b c ^ { 3 } )$$

Evaluate

$$12b^{3}\left(ac\right)^{6}$$

Solution Steps

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

$$-4a^{6}b^{2}c^{3}\left(-3\right)bc^{3}$$

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

$$-4a^{6}b^{3}c^{3}\left(-3\right)c^{3}$$

To multiply powers of the same base, add their exponents. Add 3 and 3 to get 6.

$$-4a^{6}b^{3}c^{6}\left(-3\right)$$

Multiply -4 and -3 to get 12.

$$12a^{6}b^{3}c^{6}$$

Differentiate w.r.t. a

$$72b^{3}a^{5}c^{6}$$