Solve a^24/a^8=

$$\frac { a ^ { 24 } } { a ^ { 8 } } =$$

Evaluate

$$a^{16}$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{a^{24}}{a^{8}}$$

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

$$a^{24-8}$$

Subtract 8 from 24.

$$a^{16}$$

Differentiate w.r.t. a

$$16a^{15}$$

Solution Steps

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

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{1}{1}a^{24-8})$$

Do the arithmetic.

$$\frac{\mathrm{d}}{\mathrm{d}a}(a^{16})$$

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}.

$$16a^{16-1}$$

Do the arithmetic.

$$16a^{15}$$