Matematika

Pertanyaan

Jika p=16 , q=27
tentukan: p^-1/2 + 4 q^4/3 - 1/4 p^3/2 - 2 q^1/3

1 Jawaban

  • karena [tex]p=16=2^4[/tex] dan [tex]q=27=3^3[/tex] , maka diperoleh:
    [tex]p^{\frac{-1}{2}}+4q^{\frac{4}{3}}-\frac{1}{4}p^{\frac{3}{2}}-2q^{\frac{1}{3}}=(2^4)^\frac{-1}{2}+4(3^3)^\frac{4}{3}-\frac{1}{4}(2^4)^\frac{3}{2}-2(3^3)^\frac{1}{3}=2^{-2}+4\cdot3^4-\frac{1}{4}\cdot2^6-2\cdot3^1=\frac{1}{4}+4\cdot81-\frac{1}{4}\cdot64-6=\frac{1}{4}+324-16-6=302\frac{1}{4}[/tex]

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