Question

I don't how to resolve this

Answer 1

`\cfrac{(2x^(-1) y^2)^{(1)/(4)}}{(12x^2 y^(-1))^{(1)/(2)}}\implies \cfrac{2^{(1)/(4)} x^{-(1)/(4)} y^{(2)/(4)}}{12^{(1)/(2)} x^{(2)/(2)} y^{-(1)/(2)}}\implies \cfrac{2^{(1)/(4)} x^{-(1)/(4)} y^{(1)/(2)}}{12^{(1)/(2)} x y^{-(1)/(2)}}\implies \cfrac{2^{(1)/(4)} y^{(1)/(2)}y^{(1)/(2)}}{12^{(1)/(2)} xx^{(1)/(4)} }`

`\cfrac{2^{(1)/(4)} y^{(1)/(2)+(1)/(2)}}{12^{(1)/(2)} x^{1+(1)/(4)} }\implies \cfrac{2^{(1)/(4)} y}{12^{(1)/(2)} x^{(5)/(4)} }\implies \cfrac{2^{(1)/(4)} y}{12^{(2)/(4)} x^{(5)/(4)} }\implies \cfrac{2^{(1)/(4)}}{(12^2)^{(1)/(4)}}\cdot \cfrac{y}{x^{(5)/(4)}}`

`\left( \cfrac{2}{12^2} \right)^{(1)/(4)}\cdot \cfrac{y}{x^{(5)/(4)}}\implies \left( \cfrac{1}{72} \right)^{(1)/(4)}\cdot \cfrac{y}{x^{(5)/(4)}}\implies {\Large \begin{array}{llll} \cfrac{y}{(72)^{(1)/(4)}x^{(5)/(4)}} \end{array}}`