2 Answers

Bbuecherl · Answer 1 · 2020-02-27T10:40:26+0000

For this case we have to, by defining properties of powers and roots the following is fulfilled:

$\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}$

We must rewrite the following expression:

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

Applying the property listed we have:

$\sqrt [3] {8 ^ {\frac {1} {4} x}} = 8 ^ {\frac{\frac {1} {4} x} {3} }= 8 ^ {\frac {1} {4 * 3} x} = 8 ^ {\frac {1} {12} x}$

Using the property again we have to:

$8 ^ {\frac {1} {12} x} = \sqrt [12] {8 ^ x}$

Thus, the correct option is option C

Answer:

Option C

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