Mathematics

Mathematics

Problem

For positive real number xx, which of the following statements is always true? a) x3/4x1/4=x1/12\dfrac{x^{3/4}}{x^{1/4}}=x^{1/12} b) (x1/2)1/3=x1/6(x^{1/2})^{1/3}=x^{1/6} c) x1/2×x1/3=x1/6x^{1/2}\times x^{1/3}=x^{1/6} d) x1/2×x1/3=x1/5x^{1/2}\times x^{1/3}=x^{1/5}

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