Solve 2a^4b^2c*3a^2b

$$2 a ^ { 4 } b ^ { 2 } c \cdot 3 a ^ { 2 } b$$

Evaluate

$$6cb^{3}a^{6}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 4 and 2 to get 6.

$$2a^{6}b^{2}c\times 3b$$

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

$$2a^{6}b^{3}c\times 3$$

Multiply 2 and 3 to get 6.

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

Differentiate w.r.t. c

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