Matematika

Pertanyaan

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2 Jawaban

  • Penyelesaian:

    14. Ingat: a^m . a^n = a^m+n
    a^m / a^n = a^m-n
    [tex] \frac{a^-5 . b^3}{a^-1 . b^4} . \frac{a^2 . b^4}{a^-3 . b^-1} [/tex]
    = a^(-5+2+1+3) . b^(3+4-4+1)
    = [tex]ab^4[/tex]  (A).

    15. [tex]( \frac{1}{9})^x = 27 [/tex]
    = [tex]( \frac{1}{3^2})^x = 3^3 [/tex]
    = [tex]3^-2x = 3^3[/tex]
    = -2x = 3
    x = -3/2 
    x = -1,5  (C).

    16. [tex] \sqrt{32} - 5 \sqrt{8} + 3 \sqrt{2} [/tex]
    = [tex] \sqrt{16.2} - 5 \sqrt{4.2} + 3 \sqrt{2} [/tex]
    = [tex]4 \sqrt{2} - 10 \sqrt{2} + 3 \sqrt{2}[/tex]
    = [tex]-3 \sqrt{2}[/tex]  (D).

    17. Ingat: (a + b)(a - b) = a² - b²
    [tex](5 + \sqrt{8})(5 - \sqrt{8} ) [/tex]
    = 25 - 8 
    = 17  (A).
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