Solve 6xy^6/4xy^5

$$\frac { 6 x y ^ { 6 } } { 4 x y ^ { 5 } }$$

Evaluate

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

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{6^{1}x^{1}y^{6}}{4^{1}x^{1}y^{5}}$$

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

$$\frac{6^{1}}{4^{1}}x^{1-1}y^{6-5}$$

Subtract 1 from 1.

$$\frac{6^{1}}{4^{1}}x^{0}y^{6-5}$$

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

$$\frac{6^{1}}{4^{1}}y^{6-5}$$

Subtract 5 from 6.

$$\frac{6^{1}}{4^{1}}y^{1}$$

Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.

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

Differentiate w.r.t. y

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