17. Найдите значение выражения: 1) 2^6; 2) (-7)^2; 3) (0,6)^2; 4) 7^2; 5) (1/2)^3; 6) (-1/2)^3; 7) (1 1/5)^3; 8) (-1 1/2)^4.

Решение:

1. \( 2^6 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 = 64 \)


2. \( (-7)^2 = (-7) \times (-7) = 49 \)


3. \( (0.6)^2 = 0.6 \times 0.6 = 0.36 \)


4. \( 7^2 = 7 \times 7 = 49 \)


5. \( (1/2)^3 = (1/2) \times (1/2) \times (1/2) = 1/8 \)


6. \( (-1/2)^3 = (-1/2) \times (-1/2) \times (-1/2) = -1/8 \)


7. \( (1 \frac{1}{5})^3 = (6/5)^3 = (6/5) \times (6/5) \times (6/5) = 216/125 \)


8. \( (-1 \frac{1}{2})^4 = (-3/2)^4 = (-3/2) \times (-3/2) \times (-3/2) \times (-3/2) = 81/16 \)

Ответ: 1) 64; 2) 49; 3) 0,36; 4) 49; 5) 1/8; 6) -1/8; 7) 216/125; 8) 81/16.