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Question

After getting the code, Tom got past the commando to enter the structure. This was the final level.He was supposed to find the chip which contained military grade secrets and retrieve it. After Tom retrieves the chip, he was supposed to destroy the entire structure and leave no traces of it.

He had to fix a certain amount of C4 explosives on all the 4 walls of the structure.He had to choose one pair of equal amounts of C4 on two walls.

There was C4 explosive material packed in 4 boxes and the amount of C4 inside each box was specified in the “power” notation. Select the options which have equal amounts of C4 –


A

(a^m)^n

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B

a^{(m+n)}

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C

(a^n)^m

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D

a^{(m/n)}

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Solution

The correct options are
A

(a^m)^n


C

(a^n)^m


Now, Tom has to select two boxes which has equal amount of C4 on them, and the number of C4 is given by power notation

am+n=am×an

(am)n=amn

and (an)m=anm=amn


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