Answer:
[tex]x=\dfrac{5}{2\sqrt[3]{2} }[/tex]
Step-by-step explanation:
Solve the equation
[tex](4x)^3=500[/tex]
First, rewrite it
[tex]4^3\cdot x^3=500\\ \\64x^3=4\cdot 125\\ \\16x^3=125\\ \\x^3=\dfrac{125}{16}[/tex]
Now take cubic root:
[tex]x=\sqrt[3]{\dfrac{125}{16}}=\dfrac{\sqrt[3]{125} }{\sqrt[3]{16} } =\dfrac{5}{2\sqrt[3]{2} }[/tex]
