LIC AAO Model Paper 2

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Question : 52 of 160

Marks: +1, -0

(8)^3

/

(16)^2

× 32 =

(2)^{?-4}

/

(4)^2

12
18
14
10
None of these

Solution:

(2^3)^3

+

(2^4)^2

×

2^5

=

2^{?-4}/(2^2)^2

⇒

2^9

/

2^8 × 2^5 × 2^4

=

2^{?-4}

[

a^m × a^n = a^{m+n}

]
⇒

{2^9×2^5×2^4}/2^8

=

2^{?-4}

⇒

2^{9+5+4-8}

=

2^{?-4}

[

a^m

/

a^2

=

a^{m+n}

]
⇒

2^{10}

=

2^{?-4}

⇒ ? - 4 = 10
⇒ ? = 10 + 4 = 14

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