Question

If $x^{5/7}÷x^{12/7}=31$ then find the value of $x$

Answer 1

$x^{5/4}÷x^{12/7}=31$

$\Rightarrow \frac{x^{5/7}}{x^{12/4}}=31$

$\Rightarrow x^{\left(5/7\right)-\frac{12}{7}}=31$

$\Rightarrow (x{)}^{(-7/7)}=31$

$\Rightarrow x^{-1}=31$

$\Rightarrow \frac{1}{x}=31$

$\Rightarrow x=\frac{1}{31}$