tolong di bantu caranya satu nomor ini aja ya:)
Matematika
Delfi101
Pertanyaan
tolong di bantu caranya satu nomor ini aja ya:)
1 Jawaban
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1. Jawaban algebralover
Pembilang
[tex]= (\frac{a^2}{b})^{-3} \times ( \frac{b^{-2}}{a^3})^5 \\ \\ = \frac{a^{(2\times(-3))}}{b^{-3}}\times \frac{b^{((-2)\times5)}}{a^{(3\times5)}} \\ \\ = \frac{a^{(-6)}}{b^{-3}}\times \frac{b^{-10}}{a^{15}} \\ \\ =a^{(-6-15)} \times b^{(-10-(-3))} \\ \\ =a^{-21} \times b^{-7}[/tex]
Penyebut
[tex]=( \frac{a^{3}}{b} )^{-2} \\ \\ =( \frac{a^{(3\times(-2)}}{b^{-2}} ) \\ \\ = \frac{a^{-6}}{b^{-2}} \\ \\ =a^{-6}\times b^2[/tex]
[tex]Hasil = \frac{a^{-21} \times b^{-7}}{a^{-6}\times b^2} \\ \\ Hasil = a^{-21} \times b^{-7} \times a^6\times b^{-2}\\ \\ Hasil = a^{(-21+6)} \times b^{(-7-2)} \\ \\ Hasil = a^{-15} \times b^{-9} [/tex]
Jawaban (A)
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