320° Вправа 320Алгебра 8 клас Тарасенкова 2025 · § 9 · стор. 93

320. Спростіть вираз:

1) ${\displaystyle a^{-4}\cdot a^{-8}=}$${\displaystyle a^{-4-8}=}$${\displaystyle a^{-12}}$;

2) ${\displaystyle a^4\cdot a^{-8}=}$${\displaystyle a^{4-8}=}$${\displaystyle a^{-4}}$;

3) ${\displaystyle a^{-4}\cdot a^8=}$${\displaystyle a^{-4+8}=}$${\displaystyle a^4}$;

4) ${\displaystyle a^4\cdot a^8=}$${\displaystyle a^{4+8}=}$${\displaystyle a^{12}}$;

5) ${\displaystyle a^{-5}\cdot a^5=}$${\displaystyle a^{-5+5}=}$${\displaystyle a^0=}$${\displaystyle 1}$;

6) ${\displaystyle a^{-12}\cdot a^6\cdot a^{-1}=}$${\displaystyle a^{-12+6-1}=}$${\displaystyle a^{-7}}$;

7) ${\displaystyle a^5\cdot a^{-6}\cdot a^{-9}=}$${\displaystyle a^{5-6-9}=}$${\displaystyle a^{-10}}$;

8) ${\displaystyle a^{-7}\cdot a\cdot a^7=}$${\displaystyle a^{-7+1+7}=}$${\displaystyle a}$;

9) ${\displaystyle a^0\cdot a^3\cdot a^{-10}=}$${\displaystyle a^{0+3-10}=}$${\displaystyle a^{-7}}$;

10) ${\displaystyle a^{-8}\cdot a^9\cdot a^{-3}\cdot a^2=}$${\displaystyle a^{-8+9-3+2}=}$${\displaystyle a^0=}$${\displaystyle 1}$;

11) ${\displaystyle a^{-15}\cdot a^9\cdot a^{-1}\cdot a^{15}=}$${\displaystyle a^{-15+9-1+15}=}$${\displaystyle a^8}$;

12) ${\displaystyle a^{-10}\cdot a^0\cdot a^{-6}\cdot a^{24}=}$${\displaystyle a^{-10+0-6+24}=}$${\displaystyle a^8}$.