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

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

Evaluate

$$30a^{4}b^{8}$$

Solution Steps

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

$$-2a^{3}b^{3}\times 5b^{4}\left(-3\right)ab$$

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

$$-2a^{4}b^{3}\times 5b^{4}\left(-3\right)b$$

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

$$-2a^{4}b^{7}\times 5\left(-3\right)b$$

To multiply powers of the same base, add their exponents. Add 7 and 1 to get 8.

$$-2a^{4}b^{8}\times 5\left(-3\right)$$

Multiply -2 and 5 to get -10.

$$-10a^{4}b^{8}\left(-3\right)$$

Multiply -10 and -3 to get 30.

$$30a^{4}b^{8}$$

Differentiate w.r.t. a

$$120a^{3}b^{8}$$