Question

$\sf{If \ x = y^2}$

$\sf{Find \ {\dfrac{x^x}{y^y}}}$

Answer 1

$\large\tt{x = y^2 \ (Given)}$

$\large\tt{ {\dfrac{ {x}^{x} }{ {y}^{y} }}}$

$\large\tt{\implies {\dfrac{ { ({y}^{2}) }^{ {y}^{2} } }{ {y}^{y} }}}$

$\large\tt\red{(a^m)^n = a^{mn}}$

$\large\tt{\implies {\dfrac{ {y}^{2 × {y}^{2} } }{ {y}^{y} }}}$

$\large\tt{\implies {\dfrac{ {y}^{2 {y}^{2} } }{ {y}^{y} }}}$

$\large\tt\red{ {\dfrac{a^m}{a^n}} = a^{m - n}}$

$\large\tt{\implies {y}^{2 {y}^{2} - y}}$

Answer 2

$\texttt{Refer the attachment }$