Matematika

Pertanyaan

coba tolong jawab☝ada yg cocok sama jawaban aku??
coba tolong jawab☝ada yg cocok sama jawaban aku??

2 Jawaban

  • a) [tex] (5^{1 \frac{1}{2}} )^{3} [/tex]
    = [tex] (5^{\frac{3}{2}} )^{3} [/tex]
    =[tex] 5^{ \frac{9}{2}} [/tex]
    = [tex] 5^{ 4 \frac{1}{2}} [/tex]
    = [tex] 5^{4} \sqrt{5} [/tex]
    = [tex]625 \sqrt{5} [/tex]

    b)[tex] (3^{5})^{- \frac{1}{2} } [/tex]
    = [tex] 3^{ \frac{-5}{2} } = 3^{ -2\frac{1}{2} }
    = \frac{1}{ 3^{2 \frac{1}{2} }}
    = \frac{1}{ 3^{2} \sqrt{3}}
    = \frac{1}{ 9 \sqrt{3}} = \frac{1}{27} \sqrt{3} [/tex]

    c) [tex] (a^{ \frac{2}{3}}b^{ \frac{1}{3} } )^2
    = a^{ \frac{2}{3}.2}b^{ \frac{1}{3}.2 }
    = a^{ \frac{4}{3}}b^{ \frac{2}{3}}[/tex]
  • a. 5^9/2
    b. 3^-5/2
    c. a^4/3b^2/3