比较下列各组数的大小:(1)2.8^(-3/2) , 0.8^(-1/2) 10
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(1)
2.8^(-3/2) = 1 / 2.8^(2/3) = ³√2.8 / 2.8 = 0.5
0.8^(-1/2) = 1 / 0.8^(1/2) = √0.8/0.8 = 1.12
2.8^(-3/2) < 0.8^(-1/2)
(2)
(2/3)^(1/3) = ³√(2/3) = ³√18 / 3 = 1/9
1.5^(-0.2) = 1/1.5^(1/5) = 1 / 1.5^5 = 0.13
1.3^(0.7) = 1.3^(7/10) = (1.3^7)的10次方根 = 1.2
(2/3)^(1/3) < 1.5^(-0.2) < 1.3^(0.7)
2.8^(-3/2) = 1 / 2.8^(2/3) = ³√2.8 / 2.8 = 0.5
0.8^(-1/2) = 1 / 0.8^(1/2) = √0.8/0.8 = 1.12
2.8^(-3/2) < 0.8^(-1/2)
(2)
(2/3)^(1/3) = ³√(2/3) = ³√18 / 3 = 1/9
1.5^(-0.2) = 1/1.5^(1/5) = 1 / 1.5^5 = 0.13
1.3^(0.7) = 1.3^(7/10) = (1.3^7)的10次方根 = 1.2
(2/3)^(1/3) < 1.5^(-0.2) < 1.3^(0.7)
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