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

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

Evaluate

$$-60xb^{4}a^{6}$$

Solution Steps

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

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

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

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

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

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

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

$$-3b^{4}\left(-4\right)a^{6}\left(-5\right)x$$

Multiply -3 and -4 to get 12.

$$12b^{4}a^{6}\left(-5\right)x$$

Multiply 12 and -5 to get -60.

$$-60b^{4}a^{6}x$$

Differentiate w.r.t. x

$$-60b^{4}a^{6}$$