Final answer:
The question requires finding the exponent that makes the base 2 result in 32 when raised to that power. The correct exponent here is 5, making the equation 2 raised to the 5th power equal to 32.
Step-by-step explanation:
The question asks us to fill in the blank in the equation (2) 32 = 2__. This format suggests exponentiation, where the base (2) is raised to an exponent to yield a product (32). In simpler terms, we are looking for the power to which the number 2 must be raised to result in 32. The correct power is 5, because 25 = 2 × 2 × 2 × 2 × 2 = 32. Therefore, the answer to the question is C) 5, indicating that 2 raised to the 5th power equals 32.