LIC AAO Model Paper 6

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Question : 56 of 160

Marks: +1, -0

Given the numbers :

2^{5555}

,

3^{3333}

,

6^{2222}

. These can be written in ascending order as

$2^{5555}$ , $3^{3333}$ , $6^{2222}$
$3^{3333}$ , $2^{5555}$ , $6^{2222}$
$2^{5555}$ , $6^{2222}$ , $3^{3333}$
$6^{2222}$ , $2^{5555}$ , $3^{3333}$
None of these

Solution:

2^{5555}

=

(2^5)^{1111}

=

(32)^{1111}

3^{3333}

=

(3^2)^{1111}

=

(27)^{1111}

6^{2222}

=

(6^2)^{1111}

=

(36)^{1111}

3^{3333}

<

2^{5555}

<

6^{2222}

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