Solve -2/5a^2b(10ab)

$$- \frac { 2 } { 5 } a ^ { 2 } b ( 10 a b )$$

Evaluate

$$-4b^{2}a^{3}$$

Steps Using Commutative Property of Multiplication

Use the rules of exponents to simplify the expression.

$$\left(-\frac{2}{5}\right)^{1}a^{2}b^{1}\times 10^{1}a^{1}b^{1}$$

Use the Commutative Property of Multiplication.

$$\left(-\frac{2}{5}\right)^{1}\times 10^{1}a^{2}a^{1}b^{1}b^{1}$$

To multiply powers of the same base, add their exponents.

$$\left(-\frac{2}{5}\right)^{1}\times 10^{1}a^{2+1}b^{1+1}$$

Add the exponents 2 and 1.

$$\left(-\frac{2}{5}\right)^{1}\times 10^{1}a^{3}b^{1+1}$$

Add the exponents 1 and 1.

$$\left(-\frac{2}{5}\right)^{1}\times 10^{1}a^{3}b^{2}$$

Multiply -\frac{2}{5} times 10.

$$-4a^{3}b^{2}$$

Differentiate w.r.t. a

$$-12\left(ab\right)^{2}$$