Solve 18c^10p^8/9c^6p^5

$$\frac { 18 c ^ { 10 } p ^ { 8 } } { 9 c ^ { 6 } p ^ { 5 } }$$

Evaluate

$$2p^{3}c^{4}$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{18^{1}c^{10}p^{8}}{9^{1}c^{6}p^{5}}$$

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

$$\frac{18^{1}}{9^{1}}c^{10-6}p^{8-5}$$

Subtract 6 from 10.

$$\frac{18^{1}}{9^{1}}c^{4}p^{8-5}$$

Subtract 5 from 8.

$$\frac{18^{1}}{9^{1}}c^{4}p^{3}$$

Divide 18 by 9.

$$2c^{4}p^{3}$$

Differentiate w.r.t. p

$$6p^{2}c^{4}$$