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

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

Evaluate

$$-12c^{5}\left(ab\right)^{3}$$

Solution Steps

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

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

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

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

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

$$4a^{3}b^{3}c^{5}\left(-3\right)$$

Multiply 4 and -3 to get -12.

$$-12a^{3}b^{3}c^{5}$$

Differentiate w.r.t. a

$$-36a^{2}b^{3}c^{5}$$