№5. Свойство: (ab)" = а" ь". (2.3)2 = (54.2)5 = (25.6)8 = (7.9) 11 = (21.23)14 = (11.8)3 = (13.18) = (14.49)9 = (10.21)12 = (44.55) 15 = (6.4)4 = (14.3) = (16.12)10 = (6.7)13 = (78.17)16 =

Ответ:

1. (2 \(\cdot\) 3)² = 2² \(\cdot\) 3² = 4 \(\cdot\) 9 = 36
2. (11 \(\cdot\) 8)³ = 11³ \(\cdot\) 8³ = 1331 \(\cdot\) 512 = 681472
3. (6 \(\cdot\) 4)⁴ = 6⁴ \(\cdot\) 4⁴ = 1296 \(\cdot\) 256 = 331776
4. (54 \(\cdot\) 2)⁵ = 54⁵ \(\cdot\) 2⁵ = 459165024 \(\cdot\) 32 = 14693280768
5. (13 \(\cdot\) 18)⁶ = 13⁶ \(\cdot\) 18⁶ = 4826809 \(\cdot\) 34012224 = 164172467321856
6. (14 \(\cdot\) 3)⁷ = 14⁷ \(\cdot\) 3⁷ = 105413504 \(\cdot\) 2187 = 230549523168
7. (25 \(\cdot\) 6)⁸ = 25⁸ \(\cdot\) 6⁸ = 152587890625 \(\cdot\) 1679616 = 256289062500000
8. (14 \(\cdot\) 49)⁹ = 14⁹ \(\cdot\) 49⁹ = 2015993900449 \(\cdot\) 40353607 = 8135377571314618243
9. (16 \(\cdot\) 12)¹⁰ = 16¹⁰ \(\cdot\) 12¹⁰ = 1099511627776 \(\cdot\) 61917364224 = 6807834476077633533952
10. (7 \(\cdot\) 9)¹¹ = 7¹¹ \(\cdot\) 9¹¹ = 1977326743 \(\cdot\) 31381059609 = 62039428923885045147
11. (10 \(\cdot\) 21)¹² = 10¹² \(\cdot\) 21¹² = 1000000000000 \(\cdot\) 7979226629761 = 7979226629761000000000
12. (6 \(\cdot\) 7)¹³ = 6¹³ \(\cdot\) 7¹³ = 13060694016 \(\cdot\) 96889010407 = 126542060614369364352
13. (21 \(\cdot\) 23)¹⁴ = 21¹⁴ \(\cdot\) 23¹⁴ = 4242461001938181121 \(\cdot\) 1724987630979328203 = 7328392763487984445653398048666663
14. (44 \(\cdot\) 55)¹⁵ = 44¹⁵ \(\cdot\) 55¹⁵ = 13684275977728180534272 \(\cdot\) 159567927202534375 = 2183591961177578796972933619433600000
15. (78 \(\cdot\) 17)¹⁶ = 78¹⁶ \(\cdot\) 17¹⁶ = 482799595701966231438336 \(\cdot\) 8379979211639363391 = 404583350410382673554321123691116478736

Ответ: