Final answer:
The value of n that makes the expression true when n=3 is found in option C) n^3 = 27. Options A), B), D), E), and F) do not represent a value of n equal to 3.
Step-by-step explanation:
The question is asking to find the value of n that makes the expression true. Specifically, we're looking for when n=3.
Looking at the options, we can check each one:
- A) 823 - This is just a number, not an expression with n.
- B) 51 - Again, this is a number, not an expression involving n.
- C) n^3 = 27 - When n=3, 3^3 = 27 which is true.
- D) n^0 - Any number to the power of 0 is 1, so this doesn't help identify the value of n.
- E) 64 - This is 4^3, not 3^3, so n is not 3 here.
- F) 125 - This is 5^3, not 3^3, so n is not 3 here.
Therefore, the correct answer is C) n^3 = 27, which shows that n=3.