Question

Which is equivalent to RootIndex 3 StartRoot 8 EndRoot Superscript one-fourth x?

Answer 1

Answer:

See explanations

Step-by-step explanation:

We want to  find the expression that is equivalent to

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

Recall that: $2\times 2\times 2=2^3=8$, $\implies \sqrt[3]{8}=2$

We apply this knowledge to obtain:

$(\sqrt[3]{8})^{\frac{1}{4}x}=(2)^{\frac{1}{4}x }$

$(\sqrt[3]{8})^{\frac{1}{4}x}=(2^\frac{1}{4})^x$

Recall again that:

$a^{\frac{1}{n} }=\sqrt[n]{a}$

$(\sqrt[3]{8})^{\frac{1}{4}x}=(\sqrt[4]{2})^x }$

The answer could be in varying forms.

Unfortunately, you have not provided the options

We need the options so that we can give you the correct choice.