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varshavskaya
@varshavskaya
December 2021
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сократите дробь 11*12^n/2^n+2^n+5
Ответ : 2*6^n-1
решите подробно плиз
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Minsk00
сократите дробь 11*12^n/2^n+2^n+5
11*12^n/(2^n + 2^(n+5)) =
11*12^n/(2^n + (2^n)*2^5) =
11*12^n/(2^n + 32*2^n)=
=
11*12^n/(33*2^n) =(1/3)*(12/2)^n = (1/3)*6^n =
(2/6)*6^n = 2*6^(n-1)
(2^5 = 32; 12^n/2^n =(12/2)^n=6^n)
Ответ:
2*6^(n-1)
8 votes
Thanks 15
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Answers & Comments
11*12^n/(2^n + 2^(n+5)) = 11*12^n/(2^n + (2^n)*2^5) = 11*12^n/(2^n + 32*2^n)=
=11*12^n/(33*2^n) =(1/3)*(12/2)^n = (1/3)*6^n = (2/6)*6^n = 2*6^(n-1)
(2^5 = 32; 12^n/2^n =(12/2)^n=6^n)
Ответ: 2*6^(n-1)