Final answer:
To solve the equation 3^1 __ 1/4, we can rewrite 1/4 as 4/4, which is equal to 1. Therefore, the missing exponent should be 4, making the equation 3^1 = 3^4. The correct answer is d) = 3^(4/1).
Step-by-step explanation:
In this question, we need to find the exponent that will make the equation 3^1 __ 1/4 true.
The equation involves the exponentiation of 3, with the base being 3 and the exponent being 1. We need to find the missing exponent that makes the equation true.
To solve this, we can rewrite the fraction 1/4 as 4/4, which is equal to 1. Therefore, the missing exponent should be 4, making the equation 3^1 = 3^4.
Therefore, the correct answer is d) = 3^(4/1).