Simplify the expression.
$\frac{y^{27}}{y^9}$

• A. $y^3$
• B. $y^{18}$
• C. $\frac{1}{y^{18}}$
• D. $\frac{1}{y^3}$

Answer: (B)

Verified step by step guidance

1. Recall the Quotient Rule for Exponents, which states that when you divide two expressions with the same base, you subtract the exponents: \(a^{m} \div a^{n} = a^{m-n}\).
2. Identify the base and the exponents in the given problem. Make sure both terms have the same base to apply the Quotient Rule.
3. Rewrite the division expression by subtracting the exponent in the denominator from the exponent in the numerator, following the rule: \(a^{m} \div a^{n} = a^{m-n}\).
4. Simplify the exponent subtraction to get the new exponent for the base.
5. Express the final answer as a single term with the base raised to the simplified exponent.