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

Toán Lớp 6: 4^6.9^5+6^9.120/ 8^4.3^12-6^11

Toán Lớp 6: 4^6.9^5+6^9.120/ 8^4.3^12-6^11

Comments ( 2 )

  1. Giải đáp + Lời giải và giải thích chi tiết:
     (4^6 . 9^5 + 6^9 . 120)/(8^4 . 3^12 – 6^11)
      = ( (2^2)^6 . (3^2)^5 + (2 . 3)^9 . 2^3 . 3 . 5)/( (2^3)^4 . 3^12 – (2 . 3)^11)
      = ( 2^12 . 3^10 + 2^12 . 3^10 . 5)/( 2^12 . 3^12 – 2^11 . 3^11)
      = (2^12 . 3^10 . (1 + 5))/( 2^11 . 3^11 . (2 . 3 – 1))
    = (2 . 6)/(3 . 5)
    = 4/5

  2. ( 4^6 . 9^5 + 6^9 . 120 )/( 8^4 . 3^12 – 6^11 )
    = ( ( 2^2 )^6 . ( 3^2 )^5 + ( 2 . 3 )^9 . 2^3 . 3 . 5 )/( ( 2^3 )^4 . 3^12 – ( 2 . 3 )^11 )
    = ( 2^12 . 3^10 + 2^9 . 3^9 . 2^3 . 3 . 5 )/( 2^12 . 3^12 – 2^11 . 3^11 )
    = ( 2^12 . 3^10 + 2^12 . 3^10 . 5 )/( 2^11 . 2 . 3^11 . 3 – 2^11 . 3^11 )
    = ( 2^12 . 3^10 . ( 1 +  5 ) )/( 2^11 . 3^11 . ( 2 . 3 – 1 ) )
    = ( 2^12 . 3^10 . 6 )/( 2^11 . 3^11 . 5 )
    = ( 2 . 6 )/( 3 . 5 ) = 12/15 = 4/5

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