Solve: (2^288)/(2^n) = 512
2025
Solve: (2^288)/(2^n) = 512
- A.
219
- B.
218
- C.
237
- D.
None
Attempted by 4 students.
Show answer & explanation
Correct answer: D
Answer: None (n = 279)
Explanation:
Use the exponent rule: 2^288 ÷ 2^n = 2^(288 − n).
Set this equal to 512 and note that 512 = 2^9.
Equate exponents: 288 − n = 9, so n = 288 − 9 = 279.
Because 279 is not one of the numeric choices, the choice labeled 'None' is correct.