Solve 4c^9y^3/-2c^5y^7

$$\frac { 4 c ^ { 9 } y ^ { 3 } } { - 2 c ^ { 5 } y ^ { 7 } }$$

Evaluate

$$-2\times \left(\frac{c}{y}\right)^{4}$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{4^{1}c^{9}y^{3}}{\left(-2\right)^{1}c^{5}y^{7}}$$

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

$$\frac{4^{1}}{\left(-2\right)^{1}}c^{9-5}y^{3-7}$$

Subtract 5 from 9.

$$\frac{4^{1}}{\left(-2\right)^{1}}c^{4}y^{3-7}$$

Subtract 7 from 3.

$$\frac{4^{1}}{\left(-2\right)^{1}}c^{4}y^{-4}$$

Divide 4 by -2.

$$-2c^{4}\times \frac{1}{y^{4}}$$

Differentiate w.r.t. y

$$\frac{8c^{4}}{y^{5}}$$