Final answer:
The expression 216 is correctly evaluated as option a) 6^3, which equals 216. None of the other options (12^2, 4^4, 8^3) result in 216.
Step-by-step explanation:
The student asked to evaluate the expression 216 and determine which of the following options is equal to 216:
- a) 6^3
- b) 12^2
- c) 4^4
- d) 8^3
Let's go through each option one by one:
- 63 is calculating 6 multiplied by itself three times: 6 x 6 x 6 = 216.
- 122 is 12 multiplied by itself once: 12 x 12 = 144, which is not equal to 216.
- 44 is 4 multiplied by itself four times: 4 x 4 x 4 x 4 = 256, which also does not equal 216.
- Finally, 83 is 8 multiplied by itself three times: 8 x 8 x 8 = 512, which is not equal to 216.
Therefore, the correct evaluation of 216 is option a)6^3