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If (7^2 + 24^2)*4*(5^2*10^2)*5/((75^2*100^2)*6) = 5n, what is the value of n?

 Jul 12, 2022
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(7^2 + 24^2)*4*(5^2*10^2)*5/((75^2*100^2)*6)  =

 

[625 * 4 * (5^2 * 5^2 * 2^2) * 5]  / [ 3^2 * 5^4 * 5^4 * 2^4 * 6] =

 

(  5^4 * 5^2 * 5^2 * 5  * 4 * 4 ) /  [ 5^4* 5^4 * 3^2 * 16 * 6 ]  =

 

( 5^9 )  ] / [ 5^8 * 54 ] /  =

 

5 / 54  =   5 ( 1/54)

 

n = 1 / 54

 

 

cool cool cool

 Jul 12, 2022

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