Найдите значение степени и сравните результат с 1

1. 5¹ = 5

   5 > 1

2. 7⁰ = 1

   1 = 1

3. 2^-3 = \(\frac{1}{2^3}\) = \(\frac{1}{8}\) = 0.125

   0.125 < 1

4. 5 ⋅ 5^-2 = 5 ⋅ \(\frac{1}{5^2}\) = \(\frac{5}{25}\) = \(\frac{1}{5}\) = 0.2

   0.2 < 1

5. 3⁰ ⋅ 7^-3 = 1 ⋅ \(\frac{1}{7^3}\) = \(\frac{1}{343}\) ≈ 0.0029

   0.0029 < 1

6. \(\frac{2^7 ⋅ 2^3}{2^{13}}\) = \(\frac{2^{10}}{2^{13}}\) = 2^-3 = \(\frac{1}{2^3}\) = \(\frac{1}{8}\) = 0.125

   0.125 < 1

7. 2⁷ ⋅ 2^-5 = 2² = 4

   4 > 1

8. 7⁰ ⋅ 8² ⋅ 2^-3 = 1 ⋅ 64 ⋅ \(\frac{1}{8}\) = 8

   8 > 1

9. \(\frac{3^5 ⋅ 5^5}{15^5}\) = \(\frac{15^5}{15^5}\) = 1

   1 = 1

10. 6^-1 = \(\frac{1}{6}\) ≈ 0.167

    0.167 < 1

11. 2^-2 ⋅ 3^-2 = \(\frac{1}{2^2}\) ⋅ \(\frac{1}{3^2}\) = \(\frac{1}{4}\) ⋅ \(\frac{1}{9}\) = \(\frac{1}{36}\) ≈ 0.028

    0.028 < 1

12. (2³)² ⋅ 2^-7 = 2⁶ ⋅ 2^-7 = 2^-1 = \(\frac{1}{2}\) = 0.5

    0.5 < 1

13. c^-9 = \(\frac{1}{c^9}\)

    Если c > 1, то c^-9 < 1; если 0 < c < 1, то c^-9 > 1; если c = 1, то c^-9 = 1.

14. 2^-5 = \(\frac{1}{2^5}\) = \(\frac{1}{32}\) = 0.03125

    0.03125 < 1

15. k⁰ = 1

    1 = 1

Ответ: См. решение выше