Question: Simplify the radical expression by changing the expression to exponential form. Write the answer
$$\sqrt{\sqrt[7]{m}} = \square$$
1. **State the problem:** Simplify the expression $$\sqrt{\sqrt[7]{m}}$$ by converting it to exponential form.
2. **Recall the rules:**
- The nth root of a number $$a$$ can be written as $$a^{\frac{1}{n}}$$.
- The square root $$\sqrt{x}$$ is the same as $$x^{\frac{1}{2}}$$.
- When raising a power to another power, multiply the exponents: $$(a^m)^n = a^{m \times n}$$.
3. **Convert the inner radical:**
$$\sqrt[7]{m} = m^{\frac{1}{7}}$$
4. **Rewrite the entire expression:**
$$\sqrt{\sqrt[7]{m}} = \sqrt{m^{\frac{1}{7}}}$$
5. **Convert the outer square root to exponential form:**
$$\sqrt{m^{\frac{1}{7}}} = \left(m^{\frac{1}{7}}\right)^{\frac{1}{2}}$$
6. **Multiply the exponents:**
$$\left(m^{\frac{1}{7}}\right)^{\frac{1}{2}} = m^{\frac{1}{7} \times \frac{1}{2}} = m^{\frac{1}{14}}$$
7. **Final answer:**
$$\boxed{m^{\frac{1}{14}}}$$