Pembahasan Soal Pangkat Negatif

1. Hitunglah!

a. 3-2
b. (\frac{1}{2})^{-3}
c. (0,2)-4
d. \frac{3}{2^{-2}}

Pembahasan :
a. 3-2
\begin{align}
3^{-2} &= \frac{1}{3^2} \\
&= \frac{1}{9}
\end{align}

b. (\frac{1}{2})^{-3}
\begin{align}
(\frac{1}{2})^{-3} &= \frac{1}{(\frac{1}{2})^3} \\
&= 2^3 \\
&= 8
\end{align}

c. (0,2)-4
\begin{align}
(0,2)^{-4} &= (\frac{2}{10})^4 \\
&= (\frac{1}{5})^4 \\
&= \frac{1}{625}
\end{align}

d. \frac{3}{2^{-2}}
\begin{align}
\frac{3}{2^{-2}} &= \frac{3}{(\frac{1}{2})^2} \\
&= 3 \times 4 \\
&= 12
\end{align}