Solve (-2a^{2}b^3)(4ab^5)(6a^3b^2

$$( - 2 a ^ { 2 } b ^ { 3 } ) ( 4 a b ^ { 5 } ) ( 6 a ^ { 3 } b ^ { 2 }$$

Evaluate

$$-48a^{6}b^{10}$$

Solution Steps

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

$$-2a^{3}b^{3}\times 4b^{5}\times 6a^{3}b^{2}$$

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

$$-2a^{6}b^{3}\times 4b^{5}\times 6b^{2}$$

To multiply powers of the same base, add their exponents. Add 3 and 5 to get 8.

$$-2a^{6}b^{8}\times 4\times 6b^{2}$$

To multiply powers of the same base, add their exponents. Add 8 and 2 to get 10.

$$-2a^{6}b^{10}\times 4\times 6$$

Multiply -2 and 4 to get -8.

$$-8a^{6}b^{10}\times 6$$

Multiply -8 and 6 to get -48.

$$-48a^{6}b^{10}$$

Differentiate w.r.t. a

$$-288a^{5}b^{10}$$