Solve a^2b^5/(a^3b^6)

$$\frac { a ^ { 2 } b ^ { 5 } } { ( a ^ { 3 } b ^ { 6 } ) }$$

Evaluate

$$\frac{1}{ab}$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{a^{2}b^{5}}{a^{3}b^{6}}$$

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

$$a^{2-3}b^{5-6}$$

Subtract 3 from 2.

$$\frac{1}{a}b^{5-6}$$

Subtract 6 from 5.

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

Differentiate w.r.t. b

$$-\frac{1}{ab^{2}}$$