Solve (-3ab^2c^3)(-10a^2bc)

$$( - 3 a b ^ { 2 } c ^ { 3 } ) ( - 10 a ^ { 2 } b c )$$

Evaluate

$$30c^{4}\left(ab\right)^{3}$$

Solution Steps

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

$$-3a^{3}b^{2}c^{3}\left(-10\right)bc$$

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

$$-3a^{3}b^{3}c^{3}\left(-10\right)c$$

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

$$-3a^{3}b^{3}c^{4}\left(-10\right)$$

Multiply -3 and -10 to get 30.

$$30a^{3}b^{3}c^{4}$$

Differentiate w.r.t. a

$$90a^{2}b^{3}c^{4}$$