Matematika

Pertanyaan

Tolong jawab nomor 1 dan 2 ini pakai cara ya.... Terima kasih.
Tolong jawab nomor 1 dan 2 ini pakai cara ya....  Terima kasih.

1 Jawaban

  • [tex]$\begin{align}1.)~~~~ ( \frac{1}{27} )^{ \frac{2}{3} } + (-64)^ \frac{5}{6} &= \frac{1}{ \sqrt[3]{(3^3)^2} } + (-1 \ . \ 2^6)^{ \frac{5}{6} }\\&= \frac{1}{ \sqrt[3]{3^6} } + 2^5 \sqrt[6]{-1} \\ &= \frac{1}{9} + 32 \sqrt[6]{-1} ~~~\bold{Bilangan~imaginer} \end{align}[/tex]

    [tex]$\begin{align}2.)~~~~ (0,125)^{-0,5} - (0,25)^{-0,25} &= (\frac{125}{1000})^{- \frac{1}{2}} - ( \frac{25}{100} )^{- \frac{1}{4} }\\&= \frac{1000}{125}^{ \frac{1}{2} } - ( \frac{100}{25} )^{ \frac{1}{4} } \\ &= \sqrt{ \frac{100 \ . \ 10}{25 \ . \ 5} } - ( (\frac{10}{5} )^2)^ \frac{1}{4} \\ &= \frac{10}{5} \sqrt{ \frac{10}{5} } - \sqrt{ \frac{10}{5} } \\ &= 2 \sqrt{ 2 } - \sqrt{2 } \\&= \sqrt{2} \end{align}[/tex]