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Difficulty: 1/102022 NMTC 2022 (QII-40)

Which of the following mathematical expressions is equal to 8?

Options:

  • B.

  • C.

  • D.

Guide / Hint

Hint 1: Evaluate the exponential term in each option directly.

Hint 2: Recall that means multiplying by itself times.

Hint 3: Observe that , which corresponds to option index 0.

Solution

Step 1 (Evaluate each option):

  • For : $$

  • For : $$

  • For : $$

  • For : $$

Step 2 (Conclusion): The expression is exactly equal to 8. This corresponds to option index 0.

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