Solve 28r^9s^8/7r^6s

$$\frac { 28 r ^ { 9 } s ^ { 8 } } { 7 r ^ { 6 } s }$$

Evaluate

$$4r^{3}s^{7}$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{28^{1}r^{9}s^{8}}{7^{1}r^{6}s^{1}}$$

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

$$\frac{28^{1}}{7^{1}}r^{9-6}s^{8-1}$$

Subtract 6 from 9.

$$\frac{28^{1}}{7^{1}}r^{3}s^{8-1}$$

Subtract 1 from 8.

$$\frac{28^{1}}{7^{1}}r^{3}s^{7}$$

Divide 28 by 7.

$$4r^{3}s^{7}$$

Differentiate w.r.t. s

$$28r^{3}s^{6}$$