Question

$x=y^a,y=z^b,z=x^c$ആയാൽ abc=?$$

• A. 1
• B. 1/2
• C. 1/xyz
• D. 2

Answer 1

Answer:

A. 1

$x=y^a,y=z^b,z=x^c$

$x=y^a=(z^b)^a\because{y=z^b}$

$=((x^c)^b)^a\because{z=x^c}$

$=x^{abc}\because{(m^n)^p=m^{op}}$

$\implies{abc}=1\because{x=x^{abc}}$