№4. Свойство: (aⁿ)ᵐ = aⁿ·ᵐ. (1²)⁵ =; (2³)⁷ =; (3⁷)⁹ =; (4⁷)² =; (5⁵)⁵ =; (6⁹)³ =; (7⁴)³ =; (8⁷)⁹ =; (9¹⁰)¹¹ =; (10⁶)² =; (11²)⁴ =; (12²³)² =; (13⁶)⁸ =; (14⁹)⁴ =; (15²)⁷ =.

При возведении степени в степень показатели перемножаем: \((a^n)^m=a^{n\cdot m}\).

1. \((1^2)^5=1^{10}\); \((2^3)^7=2^{21}\); \((3^7)^9=3^{63}\).
2. \((4^7)^2=4^{14}\); \((5^5)^5=5^{25}\); \((6^9)^3=6^{27}\).
3. \((7^4)^3=7^{12}\); \((8^7)^9=8^{63}\); \((9^{10})^{11}=9^{110}\).
4. \((10^6)^2=10^{12}\); \((11^2)^4=11^8\); \((12^{23})^2=12^{46}\).
5. \((13^6)^8=13^{48}\); \((14^9)^4=14^{36}\); \((15^2)^7=15^{14}\).