Matematika

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(5/x)^-2 × (25/3x)^-7 : (5/2x)^-4

1 Jawaban

  • (5/x)^-2 × (25/3x)^-7 : (5/2x)^-4

    = (x/5)^2 × (3x/25)^7 : (2x/5)^4

    = x^2/5^2 × (3x)^7/25^7 : (2x)^4/5^4

    = x^2/5^2 × (3x)^7/25^7 × 5^4/(2x)^4

    = x^2 × 3^7 × x^7/(5^2)^7 × 5^4-2/2^4 × x^4

    = x^2 × 2187x^7/5^14 × 5^2/16x^4

    = x^2 × 2187x^7-4/5^14 × 5^2/16

    = x^2 × 2187x^3/5^14 × 5^2/16

    = x^2 × 2187x^3/5^14-2 × 1/16

    = x^2 × 2187x^3/5^12 × 1/16

    = x^2 × 2187x^3 × 1 / 5^12 × 16

    = x^2+3 × 2187 × 1 / 5^12 × 16

    = x^5 × 2187 / 5^12 × 16

    = 2187x^5 / 5^12 × 16

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