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Question Number 171919 by Mikenice last updated on 21/Jun/22

i f

a + b + c = 2196

\sqrt[3]{a} + b + c = 2076

a + \sqrt[3]{b} + c = 1860

a + b + \sqrt[3]{c} = 480, d e t e r m i n e t h e v a l u e o f

a^{\frac{2}{3}} + b^{\frac{2}{3}} + c^{\frac{2}{3}}, i f a, b, c a r e a l l i n t e g e r .