Solve 16b/10adiv4/3ab^3

$$\frac { 16 b } { 10 a } \div \frac { 4 } { 3 } a b ^ { 3 }$$

Evaluate

$$\frac{6b^{4}}{5}$$

Solution Steps

Divide \frac{16b}{10a} by \frac{4}{3} by multiplying \frac{16b}{10a} by the reciprocal of \frac{4}{3}.

$$\frac{16b\times 3}{10a\times 4}ab^{3}$$

Cancel out 2\times 4 in both numerator and denominator.

$$\frac{2\times 3b}{5a}ab^{3}$$

Multiply 2 and 3 to get 6.

$$\frac{6b}{5a}ab^{3}$$

Express \frac{6b}{5a}a as a single fraction.

$$\frac{6ba}{5a}b^{3}$$

Cancel out a in both numerator and denominator.

$$\frac{6b}{5}b^{3}$$

Express \frac{6b}{5}b^{3} as a single fraction.

$$\frac{6bb^{3}}{5}$$

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

$$\frac{6b^{4}}{5}$$

Differentiate w.r.t. b

$$\frac{24b^{3}}{5}$$