Respuesta :

Space

Answer:

[tex]\sqrt[12]{x}^8[/tex], The 3rd answer

Step-by-step explanation:

When you exponent an exponent, you multiply the 2 exponents together.

Step 1: Rewrite [tex]\sqrt[3]{8}[/tex] to exponential form

[tex](8^{1/3})^{{1/4x}[/tex]

Step 2: Multiply exponents

[tex]8^{1/12x}[/tex]

Step 3: Rewrite as radical

[tex]\sqrt[12]{8}^{x}[/tex]

And we have our answer!

mathstudent55

Answer:

[tex] \sqrt[12]{8}^x [/tex]

Step-by-step explanation:

[tex] \sqrt[3]{8}^{\frac{1}{4}x} = [/tex]

[tex]= (8^{\frac{1}{3}})^{\frac{1}{4}x}[/tex]

[tex] = 8^{\frac{1}{3} \times \frac{1}{4}x} [/tex]

[tex] = 8^{\frac{1}{12}x} [/tex]

[tex] = \sqrt[12]{8}^x [/tex]

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