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\(a^\frac{2}{3}=b^\frac{2}{3}\) =>\(\sqrt[3]{a^2}=\sqrt[3]{b^2}\).. Thus a=b or a=-b Let us check the options a) \(a/b =1\).....Will not be true when a=-b b) \(a/b = -1\).....Will not be true when a=b c) \((a/b)^2 =1\).....Will always be true for both a=b and a=-b d) \(a= 2/3\).....Will not be true as we do not know what is a. e) \(a^2 = b^2\).....Will always be true for both a=b and a=-b f) \(a^{1/2} = b^{1/2}\).....Will not be true when a=-b, as for a negative term square root is undefined.
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