Answer
The quotient rule of exponents $\frac{a^{m}}{a^{n}}=a^{m-n}$ says that to divide expressions with the same base but different exponents keep the base and subtract the powers, given that $m>n$.
For instance, consider the expression $\frac{b^{8}}{b^{2}}$. Since the power of the numerator (8) is greater than the power of the denominator (2), we can use the quotient rule to simplify the expression.
$$\frac{b^{8}}{b^{2}} = b^{8-2} = b^{6}$$
Work Step by Step
The quotient rule of exponents $\frac{a^{m}}{a^{n}}=a^{m-n}$ says that to divide expressions with the same base but different exponents keep the base and subtract the powers, given that $m>n$.
For instance, consider the expression $\frac{b^{8}}{b^{2}}$. Since the power of the numerator (8) is greater than the power of the denominator (2), we can use the quotient rule to simplify the expression.
$$\frac{b^{8}}{b^{2}} = b^{8-2} = b^{6}$$
