Simplify the expression. Hint: rewrite using exponents first.
$\frac{64}{16}$

• A. $16$
• B. $48$
• C. $4$
• D. $6$

Answer: (C)

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 the bases are the same before applying the rule.
3. Rewrite the expression by subtracting the exponent in the denominator from the exponent in the numerator using the formula: \(a^{m-n}\).
4. Simplify the resulting expression by performing the subtraction of the exponents.
5. If possible, simplify the expression further by evaluating any powers or reducing the expression to its simplest form.