Ogechi is trying to demonstrate that 7 is a Mersenne prime. Which of the following expressions should she use?(1 point)

Question

Responses

23−1
2 cubed minus 1

2(3)−1
2 left parenthesis 3 right parenthesis minus 1

7 is not a Mersenne prime.
7 is not a Mersenne prime.

2(3)+1

Answer 1

To demonstrate that 7 is a Mersenne prime, Ogechi should use the expression:

2(3) - 1

This expression evaluates to 2³ - 1, which equals 8 - 1 = 7. A Mersenne prime is defined as a prime number that can be expressed in the form \(2^p - 1\), where \(p\) is a positive integer. In this case, \(p = 3\), and since 7 is indeed a prime number, it qualifies as a Mersenne prime.