Solve 24ab^3/12a^2b^4

$$\frac { 24 a b ^ { 3 } } { 12 a ^ { 2 } b ^ { 4 } }$$

Evaluate

$$\frac{2}{ab}$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{24^{1}a^{1}b^{3}}{12^{1}a^{2}b^{4}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$\frac{24^{1}}{12^{1}}a^{1-2}b^{3-4}$$

Subtract 2 from 1.

$$\frac{24^{1}}{12^{1}}\times \frac{1}{a}b^{3-4}$$

Subtract 4 from 3.

$$\frac{24^{1}}{12^{1}}\times \frac{1}{a}\times \frac{1}{b}$$

Divide 24 by 12.

$$2\times \frac{1}{a}\times \frac{1}{b}$$

Differentiate w.r.t. b

$$-\frac{2}{ab^{2}}$$