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[Risolto] EX 171 RISULTATO 5/4 GRAZIE

  

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IMG 20231023 220237
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(1 - ((5/3)^4·(3/5)^(-2)/(25/9)^2)^(-1))^10/(5/4)^(-6)/((4/5)^3)^5=

 

=(1 - (5^4/3^4·(5^2/3^2)/(5^4/3^4))^(-1))^10/(2^12/5^6)/(2^30/5^15)=

 

=(1 - (5^6/3^6/(5^4/3^4))^(-1))^10/(2^12/5^6)/(2^30/5^15)=

 

=(1 - (5^2/3^2)^(-1))^10/(2^12/5^6)/(2^30/5^15)=

 

=(1 - 3^2/5^2)^10/(2^12/5^6)/(2^30/5^15)=

 

=(2^4/5^2)^10/(2^12/5^6)/(2^30/5^15)=

 

=2^28/5^14/(2^30/5^15)=

 

=5/2^2 = 5/4

@lucianop 👍👍👍



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