1. **State the problem:** We need to express the last row's expression in radical notation, rational exponents, and evaluate it to two decimal places.
2. **Identify the expression:** The last row is "6th root of 5^7".
3. **Write in radical notation:** This is already given as $\sqrt[6]{5^7}$.
4. **Write using rational exponents:** The 6th root of $5^7$ is written as $5^{\frac{7}{6}}$.
5. **Evaluate the expression:** Calculate $5^{\frac{7}{6}}$ using a calculator.
$$5^{\frac{7}{6}} = e^{\ln(5) \times \frac{7}{6}}$$
Using approximate values:
$$\ln(5) \approx 1.60944$$
$$1.60944 \times \frac{7}{6} = 1.60944 \times 1.1667 \approx 1.877$$
$$e^{1.877} \approx 6.53$$
6. **Final answer:**
- Written in radical notation: $\sqrt[6]{5^7}$
- Written using rational exponents: $5^{\frac{7}{6}}$
- Evaluated to two decimal places: 6.53
This completes the last row of the table.
Radical Evaluation 6902C6
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