simplify and evaluate \sqrt[3]{5^{3}}+\frac{8}{4}-0.2

To simplify and evaluate this expression, we follow the order of operations (PEMDAS):

1. Simplify the cubed root of \(5^{3}\): \(5^{3} = 125\), so \(\sqrt[3]{5^{3}} = \sqrt[3]{125} = 5\).

2. Simplify \(\frac{8}{4} = 2\).

3. Perform the subtraction: \(0.2\).

Now we can add these simplified values together:

\(5 + 2 - 0.2 = 7 - 0.2 = 6.8\)

Therefore, \(\sqrt[3]{5^{3}} + \frac{8}{4} - 0.2 = 6.8\).