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<p>Jawaban: (4a²b)/c¹¹</p><p>&nbsp;</p><p>Konsep:</p><p>* a^m ⋅ aⁿ = a^{m + n}</p><p>* a^m/aⁿ = a^{m - n}</p><p>* a^-n = 1/aⁿ</p><p>* 1/aⁿ= a^-n&nbsp;</p><p>* (a^m)ⁿ = a^{m × n}</p><p>* (a ∙ b)ⁿ = aⁿ ∙ bⁿ</p><p>* (a/b)ⁿ = aⁿ/bⁿ</p><p>&nbsp;</p><p>Pembahasan:</p><p>(b/a^-3)(4a²/c³)³ : 16a⁷c²</p><p>= (b/a^-3)(4³(a²)³/(c³)³) : 16a⁷c²</p><p>= (b/a^-3)(64a⁶/c⁹) : 16a⁷c²</p><p>= (64a^{6 - (-3)}bc^-9) : 16a⁷c²</p><p>= (64a⁹bc^-9) : 16a⁷c²</p><p>= (64/16) (a^{9 - 7}) (b) (c^{-9 - 2})</p><p>= 4a²bc^-11</p><p>= (4a²b)/c¹¹</p><p>&nbsp;</p><p>Jadi, hasilnya adalah (4a²b)/c¹¹.</p>