Question

Сократите дробь:

* это умножение 

 

2^n+2*21^n+3                  
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6^n+1*7^n+2

Answer 1

$frac{ 2^{n+2}*21^{n+3} }{ 6^{n+1}*7^{n+2}} = frac{ 2*2^{n+1}*3^{n+3}*7^{n+3} }{ 2^{n+1}*3^{n+1}*7^{n+2}}= frac{ 2*3^{n+3}*7^{n+3} }{ 3^{n+1}*7^{n+2}}= \ = frac{ 2*3^{2}*3^{n+1}*7*7^{n+2} }{ 3^{n+1}*7^{n+2}}= frac{ 2*3^{2}*7 }{1}=2*9*7=126$