Question: Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
$3^{8/5}$
The expression above can also be written in the form $\sqrt[5]{a^b}$.
For this expression, $a = [ ]$, $b = [ ]$, and $c = [ ]$.
1. **State the problem:** We are given the expression $$3^{8/5}$$ and asked to rewrite it in the form $$\sqrt[5]{a^b}$$, where $$a$$ and $$b$$ are numbers to find.
2. **Recall the rule for fractional exponents:**
$$x^{m/n} = \sqrt[n]{x^m}$$
This means that $$3^{8/5} = \sqrt[5]{3^8}$$.
3. **Identify the values:**
Here, $$a = 3$$ and $$b = 8$$.
4. **About $$c$$:** The problem mentions $$c$$ but the expression $$3^{8/5}$$ rewritten as $$\sqrt[5]{3^8}$$ only involves $$a$$ and $$b$$. If $$c$$ refers to the root index, then $$c = 5$$.
**Final answers:**
$$a = 3$$
$$b = 8$$
$$c = 5$$