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

Toán Lớp 7: so sánh âm 1 phần 5 mũ 300 vs âm 1 phần 3 mũ 500

Toán Lớp 7: so sánh âm 1 phần 5 mũ 300 vs âm 1 phần 3 mũ 500

Comments ( 2 )

  1. -(1/5)^300 và -(1/3)^500
    Ta có:
    -(1/5)^300
    =-[(1/5)^3]^100
    =-(1/125)^100
    -(1/3)^500
    =-[(1/3)^5]^100
    =-(1/243)^100
    Mà -(1/125) < -(1/243)
    =>-(1/125)^100 < -(1/243)^100
    Vậy -(1/5)^300 < -(1/3)^500.

  2. Ta có : ( – 1 )/5^300 = ( – 1 )/( ( 5^3 )^100 ) = ( – 1 )/( 125^100 )
                ( – 1 )/( 3^500 ) = ( – 1 )/( ( 3^5 )^100 ) = ( – 1 )/( 243^100 )
    Vì ( – 1 )/( 125^100 ) < ( – 1 )/( 243^100 ) nên ( – 1 )/5^300 < ( – 1 )/( 3^500 )
    Vậy , ( – 1 )/5^300 < ( – 1 )/( 3^500 ) .

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

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