Question

Which expression is equivalent to

{ \left( \sqrt[ 5 ]{ 8 { a }^{ 2 } \phantom{\tiny{!}}} \right) }^{ 3 }

Answer 1

[AI-generated answer — Bot GPT 3.5]

To simplify the expression, we can start by simplifying the expression inside the parentheses. The fifth root of $8a^2$ can be written as $(8a^2)^{\frac{1}{5}}$. We can then distribute the exponent of 3 to both the 8 and $a^2$. This gives us $(8^3)(a^2)^3$. Simplifying further, we have $512a^6$. Thus, the expression is equivalent to $\boxed{512a^6}$.