Matematika

Pertanyaan

tolong bantu sederhanakan
tolong bantu sederhanakan

1 Jawaban

  • a.) ((x^5 y^6 : x^2 y^3)^3)^5
    = (x^5 y^6 : x^2 y^3)^3x5
    = (x^5 y^6 : x^2 y^3) ^15
    = (x^5x15 y^6x15 : x^2x15 y^3x15)
    = (x^75 y^90 : x^45 y^30)
    = (x^75-45 y^90-30)
    = ( x^30 y^60) (sederhanakan dengan sama sama di bagi 30 )
    = ( x^30:30 y^60:30)
    = ( x y^2)
    b.) a^3 b^6 : a^5 b^2
    = a^3-5 b^6-2
    = a^-2 b^4 (sederhanakan dengan sama sama di bagi -2)
    = a^-2:(-2) b^4:(-2)
    = a b^-2
    c.) (27.p^5.q^-3 : 9.p^6.q^-4)
    = ( 3^3 .p^5.q^-3 : 3^2.p^6.q^-4)
    =(3^3-2 .p^5-6.q^-3-(-4))
    = ( 3.p.q)
    =3pq