Solve (-3ab)*(-2a)*(-a^2b^3)

$$( - 3 a b ) \cdot ( - 2 a ) \cdot ( - a ^ { 2 } b ^ { 3 } )$$

Evaluate

$$-6\left(ab\right)^{4}$$

Solution Steps

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

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

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

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

Multiply -3 and -2 to get 6.

$$6a^{2}b^{4}\left(-a^{2}\right)$$

Multiply 6 and -1 to get -6.

$$-6a^{2}b^{4}a^{2}$$

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

$$-6a^{4}b^{4}$$

Differentiate w.r.t. b

$$-24b^{3}a^{4}$$