Question: User: $\sqrt[7]{80}$
1. **State the problem:**
We need to evaluate the seventh root of 80, which is written as $\sqrt[7]{80}$.
2. **Formula and explanation:**
The $n$th root of a number $a$ is defined as the number $b$ such that $b^n = a$. Here, $n=7$ and $a=80$.
3. **Calculation:**
We want to find $b$ such that:
$$b^7 = 80$$
4. **Approximating the value:**
Since $2^7 = 128$ and $1^7 = 1$, the seventh root of 80 lies between 1 and 2.
5. **Using a calculator or estimation:**
$\sqrt[7]{80} \approx 1.834$
6. **Final answer:**
$$\boxed{1.834}$$