Solve 3ab*0,4a^2*2/3ab^2=

$$3 a b \cdot 0,4 a ^ { 2 } \cdot \frac { 2 } { 3 } a b ^ { 2 } =$$

Evaluate

$$\frac{4b^{3}a^{4}}{5}$$

Solution Steps

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

$$3a^{3}b\times 0,4\times \frac{2}{3}ab^{2}$$

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

$$3a^{4}b\times 0,4\times \frac{2}{3}b^{2}$$

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

$$3a^{4}b^{3}\times 0,4\times \frac{2}{3}$$

Multiply 3 and 0,4 to get 1,2.

$$1,2a^{4}b^{3}\times \frac{2}{3}$$

Multiply 1,2 and \frac{2}{3} to get \frac{4}{5}.

$$\frac{4}{5}a^{4}b^{3}$$

Differentiate w.r.t. b

$$\frac{12b^{2}a^{4}}{5}$$