Solve 3a^2div6ab*8ab^2

$$3 a ^ { 2 } \div 6 a b \times 8 a b ^ { 2 }$$

Evaluate

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

Solution Steps

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

$$\frac{3a^{2}}{6}a^{2}b\times 8b^{2}$$

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

$$\frac{3a^{2}}{6}a^{2}b^{3}\times 8$$

Divide 3a^{2} by 6 to get \frac{1}{2}a^{2}.

$$\frac{1}{2}a^{2}a^{2}b^{3}\times 8$$

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

$$\frac{1}{2}a^{4}b^{3}\times 8$$

Multiply \frac{1}{2} and 8 to get 4.

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

Differentiate w.r.t. b

$$12b^{2}a^{4}$$