Solve 8adiv20a^2*15abdiv6b

$$8 a \div 20 a ^ { 2 } \times 15 a b \div 6 b$$

Evaluate

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

Solution Steps

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

$$\frac{\frac{8a}{20}a^{3}\times 15b}{6}b$$

Divide 8a by 20 to get \frac{2}{5}a.

$$\frac{\frac{2}{5}aa^{3}\times 15b}{6}b$$

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

$$\frac{\frac{2}{5}a^{4}\times 15b}{6}b$$

Multiply \frac{2}{5} and 15 to get 6.

$$\frac{6a^{4}b}{6}b$$

Cancel out 6 and 6.

$$a^{4}bb$$

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

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

Differentiate w.r.t. a

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