Ogechi is trying to demonstrate that 7 is a Mersenne prime. Which of the following expressions should she use
To demonstrate that 7 is a Mersenne prime, Ogechi should use the expression 2^3 - 1.
A Mersenne prime is a prime number of the form 2^n - 1, where n is a positive integer. In this case, n is equal to 3 (since 7 is 2 raised to the power of 3 minus 1). By finding that the expression evaluates to a prime number (7), Ogechi can show that 7 is indeed a Mersenne prime.
To demonstrate that 7 is a Mersenne prime, Ogechi should use the expression: 2^3 - 1.
To demonstrate that 7 is a Mersenne prime, Ogechi should use the following expression: 2^3 - 1.
Explanation:
A Mersenne prime is a prime number that can be expressed in the form 2^p - 1, where p is also a prime number. In this case, p is 3 since we want to show that 7 is a Mersenne prime.
To evaluate the expression 2^3 - 1, we calculate 2^3 = 8 and subtract 1 from it, giving us 7. Since 7 is also a prime number, we can conclude that it is a Mersenne prime.