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We have to find the value of
(α¹⁰+β¹⁰)/{α^(-10)+β^(-10)}
=(α¹⁰+β¹⁰)/(1/α¹⁰ +1/β¹⁰)
={(α¹⁰+β¹⁰)/(α¹⁰+β¹⁰)}×(αβ)¹⁰
=(αβ)¹⁰
=(2)¹⁰
=1024
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