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

3 Answers | Add Yours

neela's profile pic

neela | High School Teacher | (Level 3) Valedictorian

Posted on

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.

atyourservice's profile pic

atyourservice | Student, Grade 11 | (Level 3) Valedictorian

Posted on

143^21 or 36^32

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

We’ve answered 315,484 questions. We can answer yours, too.

Ask a question