Solve (5a^2bc^3)(4abc^4)

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

Evaluate

$$20b^{2}a^{3}c^{7}$$

Solution Steps

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

$$5a^{3}bc^{3}\times 4bc^{4}$$

Multiply b and b to get b^{2}.

$$5a^{3}b^{2}c^{3}\times 4c^{4}$$

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

$$5a^{3}b^{2}c^{7}\times 4$$

Multiply 5 and 4 to get 20.

$$20a^{3}b^{2}c^{7}$$

Differentiate w.r.t. a

$$60\left(ab\right)^{2}c^{7}$$