5.5. Өрнекті дәрежеге түрлендіре жазыңдар: 1) 2⁸ · a⁸; 2) 5⁵ · b⁵; 3) (1/3)⁷ · c⁷; 4) (2/15)¹⁰ · d¹⁰; 5) 4⁶a⁶b⁶; 6) 8⁹c⁹d⁹; 7) (4/11)¹¹ · n¹¹m¹¹; 8) x¹³y¹³z¹³; 9) 4¹⁰/x¹⁰; 10) 7¹³/y¹³; 11) z²¹/6²¹; 12) t³⁹/9³⁹.

Қолданылатын қасиеттер: \(a^n b^n=(ab)^n\), \(a^n:b^n=(a:b)^n\).

1. \(2^8a^8=(2a)^8\).
2. \(5^5b^5=(5b)^5\).
3. \(\left(\frac{1}{3}\right)^7c^7=\left(\frac{c}{3}\right)^7\).
4. \(\left(\frac{2}{15}\right)^{10}d^{10}=\left(\frac{2d}{15}\right)^{10}\).
5. \(4^6a^6b^6=(4ab)^6\).
6. \(8^9c^9d^9=(8cd)^9\).
7. \(\left(\frac{4}{11}\right)^{11}n^{11}m^{11}=\left(\frac{4mn}{11}\right)^{11}\).
8. \(x^{13}y^{13}z^{13}=(xyz)^{13}\).
9. \(\frac{4^{10}}{x^{10}}=\left(\frac{4}{x}\right)^{10}\).
10. \(\frac{7^{13}}{y^{13}}=\left(\frac{7}{y}\right)^{13}\).
11. \(\frac{z^{21}}{6^{21}}=\left(\frac{z}{6}\right)^{21}\).
12. \(\frac{t^{39}}{9^{39}}=\left(\frac{t}{9}\right)^{39}\).

Жауабы: 1) (2a)⁸; 2) (5b)⁵; 3) (c/3)⁷; 4) (2d/15)¹⁰; 5) (4ab)⁶; 6) (8cd)⁹; 7) (4mn/11)¹¹; 8) (xyz)¹³; 9) (4/x)¹⁰; 10) (7/y)¹³; 11) (z/6)²¹; 12) (t/9)³⁹.