The problem asks: "Which expression is equivalent to $\frac{2^{32}}{2}$?"

Step-by-step Solution:

We are given the expression $\frac{2^{32}}{2}$, which involves dividing powers of 2. To simplify this expression, we apply the laws of exponents. Specifically, the quotient rule for exponents states that:

$\frac{a^m}{a^n} = a^{m-n}$

Using this rule, we can subtract the exponents:

$\frac{2^{32}}{2} = 2^{32-1} = 2^{31}$

Thus, the expression is equivalent to $2^{31}$.

Answer:

The correct answer is $2^{31}$.

Would you like further details or have any questions?

Here are 5 related questions:

1. What is the quotient rule for exponents?
2. How do you simplify expressions involving exponents?
3. What is the difference between the product and quotient rules for exponents?
4. How would the solution change if the base was not 2 but another number?
5. How can you simplify expressions like $\frac{3^{50}}{3^{10}}$?

Tip: When dividing powers with the same base, always subtract the exponents.