Solve 28a^7c^14/7a^3c^6

$$\frac { 28 a ^ { 7 } c ^ { 14 } } { 7 a ^ { 3 } c ^ { 6 } }$$

Evaluate

$$4a^{4}c^{8}$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{28^{1}a^{7}c^{14}}{7^{1}a^{3}c^{6}}$$

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

$$\frac{28^{1}}{7^{1}}a^{7-3}c^{14-6}$$

Subtract 3 from 7.

$$\frac{28^{1}}{7^{1}}a^{4}c^{14-6}$$

Subtract 6 from 14.

$$\frac{28^{1}}{7^{1}}a^{4}c^{8}$$

Divide 28 by 7.

$$4a^{4}c^{8}$$

Differentiate w.r.t. c

$$32a^{4}c^{7}$$