kristen20200
Answered

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Sagot :

mirai123

Answer:

[tex]x = \sqrt{y}[/tex]

Step-by-step explanation:

[tex]x^{3/4 } = y^{3/8 }[/tex]

Note that

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

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

So,

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

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

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

Once

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

[tex]x^6 = y^3[/tex]

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

[tex]x = y^{3\cdot 1/6}[/tex]

[tex]x = y^{1/2}[/tex]

[tex]x = \sqrt{y}[/tex]

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