Solve a^14diva^2

$$a ^ { 14 } \div a ^ { 2 }$$

Evaluate

$$a^{12}$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{a^{14}}{a^{2}}$$

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

$$a^{14-2}$$

Subtract 2 from 14.

$$a^{12}$$

Differentiate w.r.t. a

$$12a^{11}$$

Solution Steps

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

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{1}{1}a^{14-2})$$

Do the arithmetic.

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

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}.

$$12a^{12-1}$$

Do the arithmetic.

$$12a^{11}$$