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swetapank
@swetapank
July 2021
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0,75^(1/8)*4^(1/4)*12^(7/8) Как решить?
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fiofionina
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Решение:
0,75^(1/8)*4^(1/4)*12^(7/8)=(3/4)^(1/8)*4^(1/4)*(4*3)^(7/8)=3^(1/8)*4^(-1/8)*4^(1/4)*4^(7/8)*3^(7/8)=3^(1/8+7/8)*4^(-1/8+1/4+7/8)=3^1*4^1=3*4=12
Ответ: 12
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Verified answer
Решение:0,75^(1/8)*4^(1/4)*12^(7/8)=(3/4)^(1/8)*4^(1/4)*(4*3)^(7/8)=3^(1/8)*4^(-1/8)*4^(1/4)*4^(7/8)*3^(7/8)=3^(1/8+7/8)*4^(-1/8+1/4+7/8)=3^1*4^1=3*4=12
Ответ: 12