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Which one of the following is the largest number among 22222, 22222, 22222, 22222?

Which one of the following is the largest number among 22222, 22222, 22222, 22222? Correct Answer 2<sup>2222</sup>

Calculation:

We can write,

⇒ 2222 < 4096

⇒ 2222 < 212

⇒ (2222)2 < (212)2

⇒ (2222)2 < 224

Hence, 22222 < 22222

Similarly,

⇒ 222 < 256

⇒ 222 < 28

⇒ (222)22 < (28)22

⇒ (222)22 < 2176

Hence, (222)22 < 22222

Also,

⇒ 22 < 32

⇒ 22 < 25

⇒ (22)222 < (25)222

⇒ (22)222 < 21110

Hence, (22)222 < 22222

∴ Among the given numbers, 22222 is the largest number

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22222=?