Solve k^9s^10/k^3s^4

$$\frac { k ^ { 9 } s ^ { 10 } } { k ^ { 3 } s ^ { 4 } }$$

Evaluate

$$\left(ks\right)^{6}$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{k^{9}s^{10}}{k^{3}s^{4}}$$

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

$$k^{9-3}s^{10-4}$$

Subtract 3 from 9.

$$k^{6}s^{10-4}$$

Subtract 4 from 10.

$$k^{6}s^{6}$$

Differentiate w.r.t. s

$$6s^{5}k^{6}$$