Question

solve $w^3 = 14$ where $w$ is a real number. simplify your answer as much as possible. (if there is more than one solution, separate them with commas.) $w = \boxed{}$

Explanation:

Step1: Take cube root of both sides

To solve for \( w \) in the equation \( w^3 = 14 \), we take the cube root of both sides. The cube root of a number \( x \) is denoted as \( \sqrt[3]{x} \), and for the equation \( w^3 = 14 \), applying the cube root to both sides gives \( w=\sqrt[3]{14} \).

Answer:

\( \sqrt[3]{14} \)