Solve 28ab^3/16a^2b

$$\frac { 28 a b ^ { 3 } } { 16 a ^ { 2 } b }$$

Evaluate

$$\frac{7b^{2}}{4a}$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{28^{1}a^{1}b^{3}}{16^{1}a^{2}b^{1}}$$

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

$$\frac{28^{1}}{16^{1}}a^{1-2}b^{3-1}$$

Subtract 2 from 1.

$$\frac{28^{1}}{16^{1}}\times \frac{1}{a}b^{3-1}$$

Subtract 1 from 3.

$$\frac{28^{1}}{16^{1}}\times \frac{1}{a}b^{2}$$

Reduce the fraction \frac{28}{16} to lowest terms by extracting and canceling out 4.

$$\frac{7}{4}\times \frac{1}{a}b^{2}$$

Differentiate w.r.t. b

$$\frac{7b}{2a}$$