[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{z^3 - 8 = 0}\\\text{ADD 8 to BOTH SIDES}\\\mathsf{z^3 - 8 + 8 = 0 + 8}\\\text{Cancel\ out: -8 + 8 because that gives you 0}\\\text{Keep: 0 + 8 because it gives 8 and we need that to solve for your z value}\\\mathsf{z^3=8}\\\text{TAKE the CUBE ROOT}\\\mathsf{z = 8{^(\dfrac{1}{3})}}\\\\\text{SIMPLIFY the EQUATION above and you have your z value}\uparrow\\\\\boxed{\boxed{\large\text{Answer: \bf z = 2}}}\huge\checkmark[/tex]
[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
