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((a⁷b⁻¹c)/(a⁻²bc⁻⁶)).((abc ⁻²)/(a²b⁻¹c⁵))

((a⁷b⁻¹c)/(a⁻²bc⁻⁶)).((abc ⁻²)/(a²b⁻¹c⁵))

Jawaban yang benar adalah a^(12)/b^2

Perhatikan konsep berikut.
a^m x a^n = a^(m + n)
a^m : a^n = a^(m – n)
a^0 = 1 dimana a tidak sama dengan 0
a^(-m) = 1/(a^m)

Hasilnya yaitu:
((a⁷b⁻¹c)/(a⁻²bc⁻⁶)).((abc ⁻²)/(a²b⁻¹c⁵))
= (a^(7 – (-2)) b^(-1 – 1) c^(1 – (-6)) . (a^(1 + 2) b^(1 + (-1)) c^(-2 – 5)
= (a^(9) b^(-2) c^(7)) . (a^(3) b^(0) c^(-7))
= (a^(9) b^(-2) c^(7)) . (a^(3) c^(-7))
= a^(9 + 3) b^(-2) c^(7 + (-7))
= a^(12) b^(-2) c^(0)
= a^(12) b^(-2)
= a^(12)/b^2

Jadi hasilnya adalah a^(12)/b^2.
Semoga membantu ya, semangat belajar 🙂

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