Question

I’ll give brainliest to whoever helps me answer this question correctly.

Answer 1

Answer:

$\sqrt[12]{8}^x$

Step-by-step explanation:

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

$= (8^{\frac{1}{3}})^{\frac{1}{4}x}$

$= 8^{\frac{1}{3} \times \frac{1}{4}x}$

$= 8^{\frac{1}{12}x}$

$= \sqrt[12]{8}^x$

Answer 2

Answer:

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

Step-by-step explanation:

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

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

$(8^{1/3})^{{1/4x}$

Step 2: Multiply exponents

$8^{1/12x}$

Step 3: Rewrite as radical

$\sqrt[12]{8}^{x}$

And we have our answer!