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Compute the number of ordered pairs of positive integers (a,b) that satisfy (a^2)(b^3)=(20)^18.

 Nov 15, 2020
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 (a^2)(b^3)=(20)^18.

 

20^18 =2^36 * 5^18

a =(2^18)^2 =262,144^2

b =(5^6)^3  =15,625^3

 Nov 15, 2020

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