Matematika

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1 Jawaban

  • MAPEL = MATEMATIKA
    KELAS = 9
    BAB = AKAR & PANGKAT

    [tex] \frac{ {( \frac{ {a}^{2} }{b}) }^{ - 3} \times {( \frac{ {b}^{ - 2} }{ {a}^{3}} )}^{5} }{ {( \frac{ {a}^{3} }{b} )}^{ - 2} } \\ = \frac{ \frac{ {a}^{ - 6} }{ {b }^{ - 3} } \times \frac{ {b}^{ - 10} }{ {a}^{15} } }{ \frac{ {a}^{ - 6} }{ {b}^{ - 2} } } \\ = \frac{ \frac{ {b}^{3} }{ {a}^{6} } \times \frac{ {b}^{ - 10} }{ {a}^{15} } }{ \frac{ {b}^{2} }{ {a}^{6} } } \\ = \frac{ \frac{ {b}^{ - 7} }{ {a}^{21} } }{ \frac{ {b}^{2} }{ {a}^{6} } } \\ = \frac{ {b}^{ - 7} }{ {a}^{21} } \times \frac{ {a}^{6} }{ {b}^{2} } \\ = \frac{ {a}^{6} {b}^{ - 7} }{ {a}^{21} {b}^{2} } \\ = {a}^{ - 19} {b}^{ - 9} [/tex]
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