Solve 180ab^2/200ab

$$\frac { 180 a b ^ { 2 } } { 200 a b }$$

Evaluate

$$\frac{9b}{10}$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{180^{1}a^{1}b^{2}}{200^{1}a^{1}b^{1}}$$

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

$$\frac{180^{1}}{200^{1}}a^{1-1}b^{2-1}$$

Subtract 1 from 1.

$$\frac{180^{1}}{200^{1}}a^{0}b^{2-1}$$

For any number a except 0, a^{0}=1.

$$\frac{180^{1}}{200^{1}}b^{2-1}$$

Subtract 1 from 2.

$$\frac{180^{1}}{200^{1}}b^{1}$$

Reduce the fraction \frac{180}{200} to lowest terms by extracting and canceling out 20.

$$\frac{9}{10}b$$

Differentiate w.r.t. b

$$\frac{9}{10} = 0.9$$