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Question
The smallest among the numbers $2^250, 3^150, 5^100$ and $4^200$
Options:
A .  $3^150$
B .  $4^200$
C .  $5^100$
D .  $2^250$
Answer: Option C
Answer: (c)$2^250=(2^5)^50=(32)^50$$3^150=(3^3)^50=(27)^50$$5^100=(5^2)^50=(25)^50$$4^200=(4^4)^50=(256)^50$∴ The smallest number =$(5)^100$

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