Matematika

Pertanyaan

sederhanakanlah!a) 5³ . 5 pangkat -1 . 5 pangkat 5 . 5²b) 6 pangkat 5 . (6² : 6³)c) (2⁴) pangkat 5 . 2³d) (4² . 2 pangkat -4) . (5² . 3 pangkat -3)²

1 Jawaban

  • a. 5³x5⁻¹x5⁵x5² = 5³⁺⁽⁻¹⁾⁺⁵⁺² = 5⁹

    b. 6⁵x(6²/6³) = 6⁵x6²⁻³ = 6⁵x6⁻¹ = 6⁵⁺⁽⁻¹⁾ = 6⁴

    c, (2⁴)⁵x2³ = 2⁴ˣ⁵x2³ = 2²⁰x2³ = 2²⁰⁺³ = 2²³

    d. 4²x2⁻⁴x(5²x3⁻³)² = (2²)²x2⁻⁴x(5²)²x(3⁻³)2 = 2²ˣ²x2⁻⁴x5²ˣ²x3⁻³ˣ² = 2⁴x2⁻⁴x5⁴x3⁻⁶
                                    = 2⁴⁺⁽⁻⁴⁾x5⁴/3⁶ = 2⁰x5⁴/3⁶
                                    = 1x5⁴/3⁶ = 5⁴/3⁶= 625/729

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