Which number amongst 240 321 418 and 812 is the smallest ........

Math and Mental Ability Number System

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Which number amongst 2⁴⁰, 3²¹, 4¹⁸and 8¹² is the smallest?

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Complete-Test, Previous year (2022)

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2⁴⁰

3²¹

4¹⁸

8¹²

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Explanation:

We can also write them as: 2⁴⁰, 3²¹, 2³⁶, and 2³⁶. (as 4 = 2², and 8 = 2³)
So, we basically need to find the smallest one from among 2³⁶, and 3²¹. As we cannot have two correct answers, it must be 321.
We can rewrite 2³⁶ and 3²¹ as:
2¹² and 3⁷
4096 > 2187
Hence, 3²¹ is the smallest number.