Question

Which of the following statement(s) is/are always true

Answer 1

$a^2>b^2\Rightarrow a>b$ will be valid only for $a,b>0$

$a^5>b^5\Rightarrow a>b$ is true for every condition.

$\frac{a}{k}>\frac{b}{k}\Rightarrow a>b$ is not valid when $k<0$ even though $a,b>0$

$a^k>b^k\Rightarrow a>b$ when $a,b,k>0$