Back to Mathematical Olympiad
Difficulty: 1/102022 NMTC 2022 (QI-14)

/ is equal to

Options:

  • A.

    1

  • 5

  • C.

    25

  • D.

    125

Guide / Hint

Hint 1: Use the law of exponents: .

Hint 2: Subtract the exponents: , giving .

Hint 3: Select the option index corresponding to 5 (index 1).

Solution

Step 1 (Exponent Division Rule): According to the quotient rule of exponents, for any non-zero base :

Step 2 (Direct Calculation): We substitute , , and :

Step 3 (Conclusion): The value is exactly 5, which is at option index 1 in the list ['1', '5', '25', '125'].

Ready to track your progress and master these topics?

Create a free account
    2022 NMTC 2022 QI-14 - Olympiad Math Olympiad Question | Leminno