Answer:
The missing value is 512
[tex]8=\sqrt[3]{512}[/tex]
Step-by-step explanation:
Let
x ----> the missing value
we have
[tex]8=\sqrt[3]{x}[/tex]
solve for x
That means-----> isolate the variable x
Elevated both sides to the cube
[tex]8^{3}=(\sqrt[3]{x})^{3}[/tex]
Remember that
[tex](\sqrt[3]{a})^{3}=(a^{\frac{1}{3}})^3=a[/tex]
so
[tex](\sqrt[3]{x})^{3}=x[/tex]
substitute
[tex]8^{3}=x[/tex]
[tex]512=x[/tex]
Rewrite
[tex]x=512[/tex]
so
the equation is
[tex]8=\sqrt[3]{512}[/tex]
