Answer:

Explanation:
Given equation:

To solve for the unknown variable x, apply arithmetic operations to isolate the variable.
Subtract 16 from both sides:


Divide both sides by 2:


Take the cube root of both sides:
![\implies \sqrt[3]{x^3}=\sqrt[3]{-8}](https://img.qammunity.org/2023/formulas/mathematics/high-school/cmd268yuzngekcfqso5n6t4twibic69hxn.png)

When taking the cube root of a negative number, the result will be negative. To understand why, examine what happens when we cube a negative number.
When a number is cubed, it is multiplied by itself, then by itself again.
When multiplying a negative number by another negative number, the result is always positive.
When multiplying a positive number by a negative number, the result is always negative.
Therefore:

So if -8 is cube rooted, the result is -2.