327° Вправа 327Алгебра 8 клас Тарасенкова 2025 · § 9 · стор. 94

327. Спростіть вираз:

1) ${\displaystyle \frac{a}{a^{-11}}=}$${\displaystyle a^{1+11}=}$${\displaystyle a^{12}}$;

2) ${\displaystyle \frac{a^{-3}}{a}=}$${\displaystyle a^{-3-1}=}$${\displaystyle a^{-4}}$;

3) ${\displaystyle \frac{a^0}{a^{-7}}=}$${\displaystyle a^{0+7}=}$${\displaystyle a^7}$;

4) ${\displaystyle \frac{a}{a^{14}}=}$${\displaystyle a^{1-14}=}$${\displaystyle a^{-13}}$;

5) ${\displaystyle \frac{a^6}{a^{-8}}=}$${\displaystyle a^{6+8}=}$${\displaystyle a^{14}}$;

6) ${\displaystyle \frac{a^{-6}}{a^{-8}}=}$${\displaystyle a^{-6+8}=}$${\displaystyle a^2}$;

7) ${\displaystyle \frac{a^{-6}}{a^8}=}$${\displaystyle a^{-6-8}=}$${\displaystyle a^{-14}}$;

8) ${\displaystyle \frac{a^6}{a^{-6}}=}$${\displaystyle a^{6+6}=}$${\displaystyle a^{12}}$.