Matematika

Pertanyaan

Tolong ya, kalau bisa difotoin caranya:)
[tex] \frac{9 \times {10}^{9} \times 6 \times {10}^{ - 6} \times 6 \times {10}^{ - 6} }{ {3}^{ - 3} } [/tex]

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  • [tex] \frac{9 \times 10 {}^{9} \times 6 \times 10 {}^{ - 6} \times 6 \times 10 {}^{ - 6} }{ 3 {}^{ - 3} } [/tex]
    [tex] = \frac{3 {}^{2} \times 10 {}^{9} \times 2 \times 3 \times {10}^{ - 6} \times 2 \times 3 \times 10 {}^{ - 6} }{3 {}^{ - 3} } [/tex]
    [tex] = 3 {}^{5} \times 10 {}^{9} \times 2 \times 3 \times 10 {}^{ - 6} \times 2 \times 3 \times 10 {}^{ - 6} \\ = 3 {}^{5} \times 5 {}^{9} \times 2 {}^{9} \times 2 \times 3 \times 5 {}^{ - 6} \times {2}^{ - 6} \times 2 \times 3 \times 5 {}^{ - 6} \times 2 {}^{ - 6} \\ = 3 {}^{7} \times 5 {}^{ - 3} \times 2 {}^{ - 1} \\ = 3 {}^{7} \times \frac{1}{5 {}^{3} } \times \frac{1}{2} \\ = 3^{7} \times \frac{1}{125} \times \frac{1}{2} \\ = \frac{3 {}^{7} }{250} \\ = \frac{2187}{50} \\ atau \\ = 8 \frac{187}{250} \\ atau \\ = 8.75[/tex]

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