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

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pisickatia | Student, Grade 9 | eNotes Newbie

Posted June 2, 2009 at 8:54 PM via web

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Which number is bigger?

143^21 or 36^32

 

3 Answers | Add Yours

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neela | High School Teacher | Valedictorian

Posted June 3, 2009 at 12:26 AM (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.

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princessenotes | Student, Undergraduate | eNoter

Posted April 17, 2010 at 10:08 AM (Answer #2)

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143^21

 

If you need anymore help, please contact my teacher at helpmathtutor@gmail.com

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atyourservice | Student, Grade 10 | Valedictorian

Posted May 30, 2014 at 2:27 AM (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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