Solve c^20/c^13

$$\frac { c ^ { 20 } } { c ^ { 13 } }$$

Evaluate

$$c^{7}$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{c^{20}}{c^{13}}$$

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

$$c^{20-13}$$

Subtract 13 from 20.

$$c^{7}$$

Differentiate w.r.t. c

$$7c^{6}$$

Solution Steps

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

$$\frac{\mathrm{d}}{\mathrm{d}c}(\frac{1}{1}c^{20-13})$$

Do the arithmetic.

$$\frac{\mathrm{d}}{\mathrm{d}c}(c^{7})$$

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.

$$7c^{7-1}$$

Do the arithmetic.

$$7c^{6}$$