Matematika

Pertanyaan

berapakah hasil tersebut
berapakah hasil tersebut

1 Jawaban

  • [tex]$\begin{align}1. \ \ \ \ \ \ (27^2) ^{ -\frac{1}{3} } &= ((3^3)^2)^{ - \frac{1}{3} } \\ &= (3^6)^{ - \frac{1}{3} } \\ &= 3^{-2} \\ &= \frac{1}{3^2} \\ &= \frac{1}{9} \end{align}[/tex]


    [tex]$\begin{align} 2. \ \ \ \ \ 2\sqrt{27} \ . \ \sqrt{32} \ : \ \sqrt{48} &= 2 \sqrt{9 \ . \ 3} \ . \ \sqrt{16 \ . \ 2} \ : \ \sqrt{16 \ . \ 3} \\ &= (2 \ . \ 3) \sqrt{3} \ . \ 4\sqrt{2} \ : \ 4\sqrt{3} \\ &= 6\sqrt{3} \ . \ 4\sqrt{2} \ : \ 4\sqrt{3} \\ &= 24 \sqrt{6} : 4\sqrt{3} \\ &= \frac{ 24\sqrt{6}} { 4\sqrt{3}} \\ &= 6 \sqrt{2} \end{align}[/tex]