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

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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**.

143^21 or 36^32

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