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Question

(164)2
  1.  (4)3
  2.  (64)2
  3. (4)6
  4. (2)12


Solution

The correct options are
B  (64)2
C (4)6
D (2)12
Using  (ab)m=(am)(bm), we get,

(164)2=12642=1642

Using am=1am, we can write
1642(64)2

But  (64)2
=(43)2
=(4)3×2    [ (am)n=amn]
=(4)6

Similarly, we can write 
(4)6=(22)6=(2)2×6=(2)12

(164)2=(64)2=(4)6=(2)12

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