Answer:
Step-by-step explanation:
Squaring both sides of an equation is irreversible, because the square power of negative number gives a positive result, but you can't have a negative base with a positive number, given that the square root of a negative number doesn't exist for real numbers.
In case of cubic powers, this action is reversible, because the cubic root of a negative number is also a negative number. For example
[tex]\sqrt[3]{x} =-1[/tex]
We cube both sides
[tex](\sqrt[3]{x} )^{3} =(-1)^{3} \\x=-1[/tex]
If we want to reverse the equation to the beginning, we can do it, using a cubic root on each side
[tex]\sqrt[3]{x}=\sqrt[3]{-1} \\\sqrt[3]{x}=-1[/tex]
There you have it, cubing both sides of an equation is reversible.
