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222-9+11+12:2*14+14 = ? ( )

Toán Lớp 6: Giải giúp em vs ạ a)3ⁿ⁺¹:9=27 b)3²×3ⁿ=3⁷ c)2²ⁿ⁻³=2×4³ d)6ⁿ⁺¹=6¹⁸:6 e)3ⁿ⁺⁴×3²ⁿ:81=27⁶

Toán Lớp 6: Giải giúp em vs ạ
a)3ⁿ⁺¹:9=27
b)3²×3ⁿ=3⁷
c)2²ⁿ⁻³=2×4³
d)6ⁿ⁺¹=6¹⁸:6
e)3ⁿ⁺⁴×3²ⁿ:81=27⁶

Comments ( 2 )

  1. Giải đáp + Lời giải và giải thích chi tiết:
    a)
    3^(n+1):9=27
    =>3^(n+1):3^2=3^3
    =>3^(n+1)=3^3. 3^2
    =>3^(n+1)=3^5
    =>n+1=5
    =>n=5-1
    =>n=4
    b)
    3^2. 3^n=3^7
    =>3^n=3^7:3^2
    =>3^n=3^5
    =>n=5
    c)
    2^(2n-3)=2.4^3
    =>2^(2n):2^3=2.(2^2)^3
    =>2^(2n)=2.2^6. 2^3
    =>2^(2n)=2^10
    =>2n=10
    =>n=10:2
    =>n=5
    d)
    6^(n+1)=6^18:6
    =>6^n. 6=6^17
    =>6^n=6^17:6
    =>6^n=6^16
    =>n=16
    e)
    3^(n+4). 3^(2n):81=27^6
    =>3^(n+4). 3^(2n):3^4=(3^3)^6
    =>3^(n+4+2n)=3^18. 3^4
    =>3^(3n+4)=3^22
    =>3n+4=22
    =>3n=22-4
    =>3n=18
    =>n=18:3
    =>n=6

  2. a) 3^(n+1):9=27
    => 3^(n+1):3^2=3^3
    => 3^(n+1-2)=3^3
    => n-1=3
    => n = 3+1=4
    Vậy n=4
     
    b) 3^2*3^n=3^7
    => 2+n=7
    => n = 7-2=5
    Vậy n=5
     
    c) 2^(2n-3)=2*4^3
    => 2^(2n-3)=2*(2^2)^3
    => 2^(2n-3)=2*2^(2*3)
    => 2^(2n-3)=2*2^6
    => 2^(2n-3)=2^7
    => 2n-3=7
    => 2n=7+3
    => 2n=10
    => n=5
    Vậy n=5
     
    d) 6^(n+1)=6^18:6
    =>6^(n+1)=6^(18-1)
    =>6^(n+1)=6^17
    => n+1=17
    => n=17-1=16
    Vậy n=16
     
    e) 3^(n+4)*3^(2n):81=27^6
    => 3^(n+4+2n):3^4=(3^3)^6
    => 3^(3n+4-4)=3^(6*3)
    => 3^(3n)=3^(18)
    => 3n=18
    => n=6
    Vậy n=6

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222-9+11+12:2*14+14 = ? ( )

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