Solve 6hc^6/3h^2c^5

$$\frac { 6 h c ^ { 6 } } { 3 h ^ { 2 } c ^ { 5 } }$$

Evaluate

$$\frac{2c}{h}$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{6^{1}h^{1}c^{6}}{3^{1}h^{2}c^{5}}$$

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

$$\frac{6^{1}}{3^{1}}h^{1-2}c^{6-5}$$

Subtract 2 from 1.

$$\frac{6^{1}}{3^{1}}\times \frac{1}{h}c^{6-5}$$

Subtract 5 from 6.

$$\frac{6^{1}}{3^{1}}\times \frac{1}{h}c^{1}$$

Divide 6 by 3.

$$2\times \frac{1}{h}c$$

Differentiate w.r.t. c

$$\frac{2}{h}$$