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

Toán Lớp 7: Thực hiện phép tính : `a)25.(-1/5)^3 + 1/5-2.(-1/2)^2-1/2` `b)\frac{5^{102}.9^{1009}}{3^{2018}. 25^50}` Và tìm `x` `(x+1/2)^2=1/16`

Toán Lớp 7: Thực hiện phép tính :
a)25.(-1/5)^3 + 1/5-2.(-1/2)^2-1/2
b)\frac{5^{102}.9^{1009}}{3^{2018}. 25^50}
Và tìm x
(x+1/2)^2=1/16

Comments ( 2 )

  1. a) 25 . ( -1/5)^3 + 1/5 – 2 ( -1/2)^2- 1/2
    = 25 . (-1/125) + 1/5 – 2 . 1/4 – 1/2
    = -1/5 + 1/5 – 1/2 – 1/2
    = 0 – 1/2 – 1/2
    = -1/2 – 1/2
    = -1
    b) ( 5^102 . 9^1009)/( 3^2018 . 25^50)
    = ( 5^102 . ( 3^2)^1009)/( 3^2018 . ( 5^2)^50)
    = ( 5^102 . 3^2018)/( 3^2018 . 5^100)
    = ( 5^2 . 1)/( 1 . 1)
    = 25
    ( x + 1/2)^2 = 1/16
    ( x + 1/2)^2 = (+-1/4)^2
    =>\(\left[ \begin{array}{l}x+ \dfrac{1}{2}= \dfrac{1}{4}\\x+\dfrac{1}{2}= \dfrac{-1}{4}\end{array} \right.\) 
    =>\(\left[ \begin{array}{l}x=\dfrac{1}{4}- \dfrac{1}{2}\\x=\dfrac{-1}{4} -\dfrac{1}{2}\end{array} \right.\) 
    =>\(\left[ \begin{array}{l}x=\dfrac{-1}{4}\\x=\dfrac{-3}{4}\end{array} \right.\) 
    Vậy x \in { -1/4 ; -3/4}
    #caty09
     

  2. Giải đáp:
     
    Lời giải và giải thích chi tiết:
    a, 25 . (-1/5)^3 + 1/5 – 2 . (-1/2)^2 – 1/2
    = 25 . (-1/125) + 1/5 – 2 . 1/4 – 1/2
    = -1/5 + 1/5 – 1/2 – 1/2
    = -1/2 – 1/2 = -1
    b, ( 5^102 . 9^1009 )/( 3^2018 . 25^50 )
    = ( 5^102 . 3^2018 )/( 3^2018 . 5^100 )
    = 5^2 = 25
    c, ( x + 1/2 )^2 = 1/16
    => ( x + 1/2 )^2 = (±1/4)^2
    => x + 1/2 = 1/4 hoặc x + 1/2 = -1/4
    => x = 1/4 – 2/4 hoặc x = -1/4 – 2/4
    => x = -1/4 hoặc x =-3/4
             Vậy x in { -1/4; -3/4 }

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