Vi beregner verdien av hvert uttrykk for å sammenligne dem.

Uttrykk 1: $\textcolor{seagreen}{6 \cdot 2^{-3}}$

$$6 \cdot 2^{-3} = 6 \cdot \frac{1}{2^3} = \frac{6}{8} = \frac{3}{4} = \textcolor{seagreen}{0{,}75}$$

Uttrykk 2: $\textcolor{steelblue}{\left(\frac{2}{3}\right)^2}$

$$\left(\frac{2}{3}\right)^2 = \frac{2^2}{3^2} = \frac{4}{9} \approx \textcolor{steelblue}{0{,}44}$$

Uttrykk 3: $\textcolor{tomato}{\left(\frac{1}{4}\right)^0}$

Et tall opphøyd i 0 er alltid lik 1:

$$\left(\frac{1}{4}\right)^0 = \textcolor{tomato}{1}$$

Uttrykk 4: $\textcolor{orange}{\dfrac{0{,}0016}{2 \cdot 10^{-3}}}$

$$\frac{0{,}0016}{2 \cdot 10^{-3}} = \frac{1{,}6 \cdot 10^{-3}}{2 \cdot 10^{-3}} = \frac{1{,}6}{2} = \textcolor{orange}{0{,}8}$$

Sortering stigende:

$$\textcolor{steelblue}{0{,}44} < \textcolor{seagreen}{0{,}75} < \textcolor{orange}{0{,}8} < \textcolor{tomato}{1}$$

$\underline{\underline{\left(\frac{2}{3}\right)^2 < 6 \cdot 2^{-3} < \frac{0{,}0016}{2 \cdot 10^{-3}} < \left(\frac{1}{4}\right)^0}}$