Найдем значение корня:

1. а) $$\sqrt{2^4} = 2^{\frac{4}{2}} = 2^2 = 4$$.
2. б) $$\sqrt{3^4} = 3^{\frac{4}{2}} = 3^2 = 9$$.
3. в) $$\sqrt{2^6} = 2^{\frac{6}{2}} = 2^3 = 8$$.
4. г) $$\sqrt{10^8} = 10^{\frac{8}{2}} = 10^4 = 10000$$.
5. д) $$\sqrt{(-5)^4} = \sqrt{5^4} = 5^{\frac{4}{2}} = 5^2 = 25$$.
6. е) $$\sqrt{(-2)^8} = \sqrt{2^8} = 2^{\frac{8}{2}} = 2^4 = 16$$.
7. ж) $$\sqrt{3^4 \cdot 5^2} = \sqrt{3^4} \cdot \sqrt{5^2} = 3^{\frac{4}{2}} \cdot 5^{\frac{2}{2}} = 3^2 \cdot 5 = 9 \cdot 5 = 45$$.
8. з) $$\sqrt{2^6 \cdot 7^4} = \sqrt{2^6} \cdot \sqrt{7^4} = 2^{\frac{6}{2}} \cdot 7^{\frac{4}{2}} = 2^3 \cdot 7^2 = 8 \cdot 49 = 392$$.