Question

What is 4x with a power of 3 = 500

Answer 1

`x=\frac{5}{2\sqrt[3]{2} }`

Explanation:

Solve the equation

`(4x)^3=500`

First, rewrite it

`4^3\cdot x^3=500\\ \\64x^3=4\cdot 125\\ \\16x^3=125\\ \\x^3=(125)/(16)`

Now take cubic root:

`x=\sqrt[3]{(125)/(16)}=\frac{\sqrt[3]{125} }{\sqrt[3]{16} } =\frac{5}{2\sqrt[3]{2} }`