Solve 20x^3y^8/30x^3y^7

$$\frac { 20 x ^ { 3 } y ^ { 8 } } { 30 x ^ { 3 } y ^ { 7 } }$$

Evaluate

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

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{20^{1}x^{3}y^{8}}{30^{1}x^{3}y^{7}}$$

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

$$\frac{20^{1}}{30^{1}}x^{3-3}y^{8-7}$$

Subtract 3 from 3.

$$\frac{20^{1}}{30^{1}}x^{0}y^{8-7}$$

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

$$\frac{20^{1}}{30^{1}}y^{8-7}$$

Subtract 7 from 8.

$$\frac{20^{1}}{30^{1}}y^{1}$$

Reduce the fraction \frac{20}{30} to lowest terms by extracting and canceling out 10.

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

Differentiate w.r.t. y

$$\frac{2}{3} = 0.6666666666666666$$