Answer:
option 3: 3^-3รท3^4
Explanation:
When dividing exponents, you subtract the exponent of the denominator from the exponent of the numerator. This means we do (3-(-4), which is essentially 3+4, or 7. So, 3^7 is the value of the equation. If we do (-3-4), we get 3^-7, so that is the correct answer.
To double check, we know that we have to add exponents when we multiply, so option 1 is equal to 3^7 because 3+4 is 7. This is the same for option 2, where 1+6=7 (any number by itself has a hidden exponent of 1). Then, the last answer is equal to 3^7 because we subtract 7-0 when we divide, giving us 7. We also know this because anything to the power of 0 is automatically 1. Anything divided by 1 is the same thing, so it stays 3^7. Hope this helps! :)