9. Вычислите:
1) (2 * 3 ^ 10)/(3 ^ 7)
2) 3 * 2 ^ 15 2^ 14
3) (3 ^ 6 * 5 ^ 8)/(3 ^ 4 * 5 ^ 7)
4) 7 ^ 9 * 7 ^ 17/7 ^ 6 * 7 ^ 14
5) (5 ^ 9 * 5 ^ 14)/(5 ^ 25)
6) (2 ^ 17 * 3 ^ 41)/(2 ^ 15 * 3 ^ 39)
7) 6 ^ 8 * 2 ^ 17 * 3 ^ 7
8) (3^10 * 2 ^ 9)/(6 ^ 9)
9) (6 ^ 13)/((- 6) ^ 12)
10) 3^ * -5^ * 15 ^ 7
11) ((- 3) ^ 10)/((- 3) ^ 7)
12) ((- 3) ^ 10)/(3 ^ 7)
13) - (3 ^ k)/((- 3) ^ k)
14) ((- 5) ^ 9)/((- 5) ^ 7)
15) ((- 8) ^ 11)/(8 ^ 10)

Объяснение:

(2 * 3^10) / (3^7) = 2 * 3^(10-7) = 2 * 3^3 = 54

3 * 2^15 * 2^14 = 3 * 2^(15+14) = 3 * 2^29

(3^6 * 5^8) / (3^4 * 5^7) = 3^(6-4) * 5^(8-7) = 3^2 * 5 = 45

(7^9 * 7^17) / (7^6 * 7^14) = 7^(9+17-6-14) = 7^6

(5^9 * 5^14) / 5^25 = 5^(9+14-25) = 5^(-2)

(2^17 * 3^41) / (2^15 * 3^39) = 2^(17-15) * 3^(41-39) = 2^2 * 3^2 = 12

6^8 * 2^17 * 3^7

(3^10 * 2^9) / 6^9 = (3^10 * 2^9) / (2^9 * 3^9) = 1

(6^13) / ((-6)^12) = (6^13) / 6^12 = 6^(13-12) = 6

3^ * (-5^) * 15^7 = -5^7 * 15^7

((-3)^10) / ((-3)^7) = (-3)^(10-7) = (-3)^3 = -27

((-3)^10) / (3^7) = (-3)^(10-7) = (-3)^3 = -27

(3^k) / ((-3)^k) = -1

((-5)^9) / ((-5)^7) = (-5)^(9-7) = (-5)^2 = 25

((-8)^11) / (8^10) = (-8)^(11-10) = -8