Number Comparison Exercise: Identifying the Largest Value

To solve this problem, we'll simplify each expression involving the roots of 1:

• Simplify $\sqrt[10]{\sqrt[10]{1}}$:
  Since $\sqrt[10]{1} = 1$, then $\sqrt[10]{\sqrt[10]{1}} = \sqrt[10]{1} = 1$.
• Simplify $\sqrt[10]{\sqrt[3]{1}}$:
  Since $\sqrt[3]{1} = 1$, then $\sqrt[10]{\sqrt[3]{1}} = \sqrt[10]{1} = 1$.
• Simplify $\sqrt[5]{\sqrt{1}}$:
  Since $\sqrt{1} = 1$, then $\sqrt[5]{\sqrt{1}} = \sqrt[5]{1} = 1$.

Upon simplifying, each of the options results in the value 1. Therefore, all expressions are equal.

The correct answer is: "All answers are correct".