Question

HELP ASAP!!!!! Explaiiin

Answer 1

`x = √(y)`

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 = √(y)`