Solve 1250w^9z^7/20w^4z^5

$$\frac { 1250 w ^ { 9 } z ^ { 7 } } { 20 w ^ { 4 } z ^ { 5 } }$$

Evaluate

$$\frac{125z^{2}w^{5}}{2}$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{1250^{1}w^{9}z^{7}}{20^{1}w^{4}z^{5}}$$

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

$$\frac{1250^{1}}{20^{1}}w^{9-4}z^{7-5}$$

Subtract 4 from 9.

$$\frac{1250^{1}}{20^{1}}w^{5}z^{7-5}$$

Subtract 5 from 7.

$$\frac{1250^{1}}{20^{1}}w^{5}z^{2}$$

Reduce the fraction \frac{1250}{20} to lowest terms by extracting and canceling out 10.

$$\frac{125}{2}w^{5}z^{2}$$

Differentiate w.r.t. z

$$125zw^{5}$$