Matematika

Pertanyaan

materi eksponen
sma kelas X kurtilas
mohon jalannya ya
materi eksponen sma kelas X kurtilas mohon jalannya ya

2 Jawaban

  • 1.)
    [tex]( {4}^{ - 1} )^{2} \times \frac{ {2}^{4} }{ { - \frac{1}{2} }^{ - 3} } [/tex]
    [tex] = 4 ^{ - 2} \times \frac{ {2}^{4} }{ - (\frac{1}{2} )^{ - 3} } [/tex]
    [tex] = - (2 ^{2} ) ^{ - 2} \times \frac{2 ^{4} }{ {2}^{3} } [/tex]
    [tex] = - 2 ^{ - 4} \times 2[/tex]
    [tex] = { - 2}^{ - 3} [/tex]
    [tex] = - \frac{1}{2 ^{3} } = - \frac{1}{8} [/tex]

    2.)
    [tex] \frac{ \frac{1}{3} ^{ - 4} \times \frac{1}{5} \times {2}^{ - 2} }{ \frac{1}{3} ^{ - 3} \times \frac{1}{5} ^{2} \times {2}^{ - 4} } [/tex]
    [tex] = \frac{ {2}^{2} }{ \frac{1}{3} \times \frac{1}{5} } [/tex]
    [tex] = \frac{4}{ \frac{1}{15} } [/tex]
    = 60
  • Jawabannya:
    1. (4^-1)²×2⁴/-1/2^-3
    = 4^-2×2⁴/-(1/2)^-3
    = -(2²)^-2×2⁴/2³
    = -2^-4×2
    = -2^-3
    = -1/2³
    = -1/8

    2. 1/3^-4×1/5×2^-2 / 1/3^-3×1²/5×2^-4
    = 2²/1/5×1/5
    = 4/1/15
    = 60

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