Answer
$$ \frac{2}{3}$$
Work Step by Step
We have $\frac{(-2)^4+3\sqrt {120-20}}{4^3+|5(-1)|}$
Solving $$\frac{16+3\sqrt {100}}{64+|-5|}$$ $$\frac{16+3*10}{64+5}$$ $$\frac{46}{69} = \frac{2}{3}$$
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