For positive real number

MATHEMATICS · Single correct · CBSE · Mathematics · Number Systems · Number Systems

Problem

x

, which of the following statements is always true? (a)

\dfrac{x^{3/4}}{x^{1/4}}=x^{1/12}

(b)

(x^{1/2})^{1/3}=x^{1/6}

(c)

x^{1/2}\times x^{1/3}=x^{1/6}

(d)

x^{1/2}\times x^{1/3}=x^{1/5}