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Which number is bigger? 143^21 or 36^32  

pisickatia's profile pic

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Which number is bigger?

143^21 or 36^32

 

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neela's profile pic

Posted (Answer #1)

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36=144/4.

36^32 =(144/4)^32=144^21*(144^11)/4^32

=144^21*[(9)(4^2)]^11/4^22

=144^21(9^11)/4^10

=144^21{(9)(9/4)^10

=144^21*{(9)(2.25^10}

Therefore, 36^32 = 144^21{(9)(2.25^10)

Therefore.

143^21<144^21<144^21{(9)(2.25)^10}=36^21.

princessenotes's profile pic

Posted (Answer #2)

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143^21

 

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atyourservice's profile pic

Posted (Answer #3)

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143^21 or 36^32

36^32 because 143^ 41 =  1.83 x 10^45  while 36^32 = 6.33 x 10^49

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