Matematika

Pertanyaan

tolong jawab nomor 8,9,10
tolong jawab nomor 8,9,10

1 Jawaban

  • 8.
    [tex] \frac{ (a^{2} b^{-2} ) ^{5} }{((2a) ^{3} b^{2} )^{-2} } = \frac{a^{10} b^{-10}}{(8a^{3} b^{2})^{-2} } \\ \\ = a^{10} b^{-10} . (8a^{2} b^{2} )^{2} \\ \\ = a^{10} b^{-10} . 64a^{4} b^{4} \\ \\ = 64a^{14} b^{-6} \\ \\ = \frac{64a^{14} }{b^{6} } ......... (A)[/tex]

    9
    [tex]( \frac{2a^{3}bc^{5} }{4p^{3}q^{2} } )^{3} = \frac{8a^{9}b^{3}c^{15} }{64p^{9} q^{6} } ....... (B)[/tex]

    10
    (√5 + 2√3) (4√3 - 3√5) = 4√15 - 3.5 + 8.3 - 6√15
    = 4√15 - 15 + 24 - 6√15
    = 9 - 2√15 ......... (B)