Question

very simple, please explain how to do these problems step by step!

Answer 1

Hello

$(-6)^3=-216\\ (-7)^3=-343\\ -343\ \textless \ -281\ \textless \ -216\\ -7\ \textless \ \sqrt[3]{-281} \ \textless \ -6$

Answer 2

$\bf \sqrt[3]{-281}\approx -6.54991162011937513746 \approx -6.55 \\\\\\ \boxed{-7}\text{\textemdash\textemdash\textemdash\textemdash}-6.55\text{\textemdash\textemdash\textemdash\textemdash}\boxed{-6} \qquad \qquad \implies -7\ \textless \ \stackrel{\stackrel{-6.55}{\downarrow }}{\sqrt[3]{-281}}\ \textless \ -6$


keeping in mind that, on the negative side, the closer to the zero, the greater the value, thus -6 is greater than -6.55 or -7 or even -1,000,000.