Ujian Nasional

Pertanyaan

R8

Persiapan UN 2017

diutamakan siswa - siswi SMP. harus pakai cara. \(^-^)/

(2^97.778 + 2^97.776) / (2^97.776 - 2^97.774) = .....

2 Jawaban

  • (2^97.778 + 2^97.776) / (2^97.776 - 2^97.774)
    Pakai sifat distributif
    = ( 2^97.774 ( 2^4 + 2^2) ) / ( 2^97.774 (2^2 - 1) ) <-- 2^97.774 keluar agar dpt dihilangkan
    Coret 2^97.774 dr pembilang dn penyebut
    Sisa :
    = (2^4 + 2^2) / (2^2 - 1)
    = (16 + 4) / (4 - 1)
    = 20/3
  • ≡ Ditanya: [tex]\frac{2^{97778}+2^{97776}}{2^{97776}-2^{97774}} [/tex]?

    ≡ Penyelesaian:
    ⇒ [tex]\frac{2^{97776}(2^{2}+1)}{2^{97776}(1-2^{-2})} [/tex]

    ⇒ [tex]\frac{(4+1)}{1-\frac{1}{4}}[/tex]

    ⇒ [tex]\frac{5}{\frac{3}{4}}=(5).(\frac{4}{3}) [/tex]

    ∴ [tex]\boxed{\frac{20}{3}}[/tex]

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