高中数学,指数函数。要过程谢谢
1个回答
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(1)
2·3^(1/2)·(3/2)^(1/3)·(3·4)^(1/6)
=2·3^(1/2)·(3)^(1/3)·(2)^(-1/3)·(3)^(1/6)·(2)^(1/3)
=2·3^(1/2-1/3+1/6)·2^(-1/3+1/3)
=2·3^[(3-2+1)/6]·2^(0)
=2·3^(1/3)
(2)
a^(1/2)·a^(1/4)·a^(-1/8)
=a^(1/2+1/4-1/8)
=a^[(4+2-1)/8]
=a^(5/8)
(3)
2X(-1/3)[1/2·X^(1/3)-2X(-2/3)]
=2X(-1/3)·1/2·X^(1/3)-2X(-1/3)·2X(-2/3)
=X(-1/3+1/3)-4·X(-1/3-2/3)
=1-4X^(-1)
=1-4/X
2·3^(1/2)·(3/2)^(1/3)·(3·4)^(1/6)
=2·3^(1/2)·(3)^(1/3)·(2)^(-1/3)·(3)^(1/6)·(2)^(1/3)
=2·3^(1/2-1/3+1/6)·2^(-1/3+1/3)
=2·3^[(3-2+1)/6]·2^(0)
=2·3^(1/3)
(2)
a^(1/2)·a^(1/4)·a^(-1/8)
=a^(1/2+1/4-1/8)
=a^[(4+2-1)/8]
=a^(5/8)
(3)
2X(-1/3)[1/2·X^(1/3)-2X(-2/3)]
=2X(-1/3)·1/2·X^(1/3)-2X(-1/3)·2X(-2/3)
=X(-1/3+1/3)-4·X(-1/3-2/3)
=1-4X^(-1)
=1-4/X
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