Solve 12bc^6/6b^2c^3

$$\frac { 12 b c ^ { 6 } } { 6 b ^ { 2 } c ^ { 3 } }$$

Evaluate

$$\frac{2c^{3}}{b}$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{12^{1}b^{1}c^{6}}{6^{1}b^{2}c^{3}}$$

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

$$\frac{12^{1}}{6^{1}}b^{1-2}c^{6-3}$$

Subtract 2 from 1.

$$\frac{12^{1}}{6^{1}}\times \frac{1}{b}c^{6-3}$$

Subtract 3 from 6.

$$\frac{12^{1}}{6^{1}}\times \frac{1}{b}c^{3}$$

Divide 12 by 6.

$$2\times \frac{1}{b}c^{3}$$

Differentiate w.r.t. c

$$\frac{6c^{2}}{b}$$