Solve x^24/x^12

$$\frac { x ^ { 24 } } { x ^ { 12 } }$$

Evaluate

$$x^{12}$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{x^{24}}{x^{12}}$$

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

$$x^{24-12}$$

Subtract 12 from 24.

$$x^{12}$$

Differentiate w.r.t. x

$$12x^{11}$$

Solution Steps

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1}{1}x^{24-12})$$

Do the arithmetic.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x^{12})$$

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}.

$$12x^{12-1}$$

Do the arithmetic.

$$12x^{11}$$