Question

Solve for z.

Answer 1

Answer:

value of z = 2

Step-by-step explanation:

here's the solution :-

=》

${z}^{3} - 8 = 0$

=》

${z}^{3} = 8$

=》

$z = \sqrt[3]{8}$

=》

$z = \sqrt[3]{2 \times 2 \times 2}$

=》

$z = 2$

Answer 2

$\huge\text{Hey there!}$

$\mathsf{z^3 - 8 = 0}\\\text{ADD 8 to BOTH SIDES}\\\mathsf{z^3 - 8 + 8 = 0 + 8}\\\text{Cancel\ out: -8 + 8 because that gives you 0}\\\text{Keep: 0 + 8 because it gives 8 and we need that to solve for your z value}\\\mathsf{z^3=8}\\\text{TAKE the CUBE ROOT}\\\mathsf{z = 8{^(\dfrac{1}{3})}}\\\\\text{SIMPLIFY the EQUATION above and you have your z value}\uparrow\\\\\boxed{\boxed{\large\text{Answer: \bf z = 2}}}\huge\checkmark$

$\textsf{Good luck on your assignment and enjoy your day!}$

~$\frak{Amphitrite1040:)}$