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ggsssffhhhrr
@ggsssffhhhrr
December 2021
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[tex]2^{5/3}*3^{-1 /3}-3^{5/3}*2^{-1 /3})* \sqrt[3]{6}[/tex]
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nKrynka
Решение
(2^{5/3}*3^{-1 /3}-3^{5/3}*2^{-1 /3})*∛6 =
= [2^(-1/3)*3^(-1/3)] * [2^(5/3 + 1/3) - 3^(5/3 + 1/3)]*∛6 =
6^(- 1/3) * (4 - 9) * ∛6 = (1/∛6) * (2² - 3²)∛6 = 4 - 9 = - 5
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Answers & Comments
(2^{5/3}*3^{-1 /3}-3^{5/3}*2^{-1 /3})*∛6 =
= [2^(-1/3)*3^(-1/3)] * [2^(5/3 + 1/3) - 3^(5/3 + 1/3)]*∛6 =
6^(- 1/3) * (4 - 9) * ∛6 = (1/∛6) * (2² - 3²)∛6 = 4 - 9 = - 5