Solve 20a^2b/5ab^2=

$$\frac { 20 a ^ { 2 } b } { 5 a b ^ { 2 } } =$$

Evaluate

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

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{20^{1}a^{2}b^{1}}{5^{1}a^{1}b^{2}}$$

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

$$\frac{20^{1}}{5^{1}}a^{2-1}b^{1-2}$$

Subtract 1 from 2.

$$\frac{20^{1}}{5^{1}}a^{1}b^{1-2}$$

Subtract 2 from 1.

$$\frac{20^{1}}{5^{1}}a\times \frac{1}{b}$$

Divide 20 by 5.

$$4a\times \frac{1}{b}$$

Differentiate w.r.t. b

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