Solve 9x^2y^2/6x^2y

$$\frac { 9 x ^ { 2 } y ^ { 2 } } { 6 x ^ { 2 } y }$$

Evaluate

$$\frac{3y}{2}$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{9^{1}x^{2}y^{2}}{6^{1}x^{2}y^{1}}$$

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

$$\frac{9^{1}}{6^{1}}x^{2-2}y^{2-1}$$

Subtract 2 from 2.

$$\frac{9^{1}}{6^{1}}x^{0}y^{2-1}$$

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

$$\frac{9^{1}}{6^{1}}y^{2-1}$$

Subtract 1 from 2.

$$\frac{9^{1}}{6^{1}}y^{1}$$

Reduce the fraction \frac{9}{6} to lowest terms by extracting and canceling out 3.

$$\frac{3}{2}y$$

Differentiate w.r.t. y

$$\frac{3}{2} = 1\frac{1}{2} = 1.5$$