Solve b^8/b^2

$$\frac { b ^ { 8 } } { b ^ { 2 } }$$

Evaluate

$$b^{6}$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{b^{8}}{b^{2}}$$

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

$$b^{8-2}$$

Subtract 2 from 8.

$$b^{6}$$

Differentiate w.r.t. b

$$6b^{5}$$

Solution Steps

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

$$\frac{\mathrm{d}}{\mathrm{d}b}(\frac{1}{1}b^{8-2})$$

Do the arithmetic.

$$\frac{\mathrm{d}}{\mathrm{d}b}(b^{6})$$

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}.

$$6b^{6-1}$$

Do the arithmetic.

$$6b^{5}$$