Выполните возведение в степень: 1) (6²)³ = 2) (a⁵)¹⁰ = 3) (c⁴)¹² = 4) (k⁵)⁵ = 5) (p⁴)⁵ = 6) (y¹⁰)² = 7) (m³)⁶ = 8) (x¹⁵)³ = 9) (q⁷)⁶ = 10) (n²⁵)⁴ = 11) (t⁵)²⁰ = 12) (c⁴)¹⁶ = 13) (k¹³)³ = 14) (a¹¹)⁵ = 15) (k³n)² =

Решение:

1. \( (6^2)^3 = 6^{2 \cdot 3} = 6^6 \)
2. \( (a^5)^{10} = a^{5 \cdot 10} = a^{50} \)
3. \( (c^4)^{12} = c^{4 \cdot 12} = c^{48} \)
4. \( (k^5)^5 = k^{5 \cdot 5} = k^{25} \)
5. \( (p^4)^5 = p^{4 \cdot 5} = p^{20} \)
6. \( (y^{10})^2 = y^{10 \cdot 2} = y^{20} \)
7. \( (m^3)^6 = m^{3 \cdot 6} = m^{18} \)
8. \( (x^{15})^3 = x^{15 \cdot 3} = x^{45} \)
9. \( (q^7)^6 = q^{7 \cdot 6} = q^{42} \)
10. \( (n^{25})^4 = n^{25 \cdot 4} = n^{100} \)
11. \( (t^5)^{20} = t^{5 \cdot 20} = t^{100} \)
12. \( (c^4)^{16} = c^{4 \cdot 16} = c^{64} \)
13. \( (k^{13})^3 = k^{13 \cdot 3} = k^{39} \)
14. \( (a^{11})^5 = a^{11 \cdot 5} = a^{55} \)
15. \( (k^3n)^2 = (k^3)^2 n^2 = k^{3 \cdot 2} n^2 = k^6 n^2 \)

Ответ: 6⁶; a⁵⁰; c⁴⁸; k²⁵; p²⁰; y²⁰; m¹⁸; x⁴⁵; q⁴²; n¹⁰⁰; t¹⁰⁰; c⁶⁴; k³⁹; a⁵⁵; k⁶n².