Matematika

Pertanyaan

tolong bantu pakai cara
tolong bantu pakai cara

1 Jawaban


  • [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} {b}^{10} {a}^{15} } }{ \frac{ {b}^{2} }{ {a}^{6} } } \\ = \frac{ {b}^{3} }{ {a}^{6} {b}^{10} {a}^{15} } \times \frac{ {a}^{ 6} }{ {b}^{2} } \\ = \frac{1}{ {a}^{15} {b}^{9} } \\ = {a}^{ - 15} {b}^{ - 9} \\ a[/tex]