Question

The value of ${\left(\frac{x^b}{x^c}\right)}^{\frac{1}{bc}}\cdot {\left(\frac{x^c}{x^a}\right)}^{\frac{1}{ca}}\times {\left(\frac{x^a}{x^b}\right)}^{\frac{1}{ab}}$ on simplifying is

• A. x
• B. 1/x
• C. 1
• D. -1

Answer 1

Answer: (C)

1

${\left(\frac{x^b}{x^c}\right)}^{\frac{1}{bc}}=(x^{b-c}{)}^{\frac{1}{bc}}=x^{\frac{b-c}{bc}}=x^{\frac{1}{c}-\frac{1}{b}}$ etc.