Question

HELP ASAP!!!!! Explaiiin

Answer 1

Answer:

$x = \sqrt{y}$

Step-by-step explanation:

$x^{3/4 } = y^{3/8 }$

Note that

$x^{3/4 } = \sqrt[4]{x^3}$

$y^{3/8 } = \sqrt[8]{y^3}$

So,

$\sqrt[4]{x^3} = \sqrt[8]{y^3}$

$( \sqrt[4]{x^3} ) ^8= ( \sqrt[8]{y^3} )^8$

$( \sqrt[4]{x^3} ) ^8= y^3$

Once

$( \sqrt[4]{x^3} )^8 = (( \sqrt[4]{x^3} )^4)^2= (x^3)^2 = x^6$

$x^6 = y^3$

$x = \sqrt[6]{y^3}$

$x = y^{3\cdot 1/6}$

$x = y^{1/2}$

$x = \sqrt{y}$