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{a+b+c=16a2+b2+c2=90a3+b3+c3=532\large \begin{cases} a+b+c=16 \\ a^2+b^2+c^2=90 \\ a^3+b^3+c^3=532 \end{cases} ⎩⎪⎪⎨⎪⎪⎧a+b+c=16a2+b2+c2=90a3+b3+c3=532
If aaa, bbb and ccc satisfy the system of equations above, find a4+b4+c4a^4+b^4+c^4a4+b4+c4.
You may use a calculator at the end. So best of luck!
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