321° Вправа 321Алгебра 8 клас Тарасенкова 2025 · § 9 · стор. 93

321. Спростіть вираз:

1) ${\displaystyle x^{-3}\cdot x^{-10}=}$${\displaystyle x^{-3-10}=}$${\displaystyle x^{-13}}$;

2) ${\displaystyle x^3\cdot x^{-10}=}$${\displaystyle x^{3-10}=}$${\displaystyle x^{-7}}$;

3) ${\displaystyle x^{-3}\cdot x^{10}=}$${\displaystyle x^{-3+10}=}$${\displaystyle x^7}$;

4) ${\displaystyle x^3\cdot x^{10}=}$${\displaystyle x^{3+10}=}$${\displaystyle x^{13}}$;

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

6) ${\displaystyle x^{-32}\cdot x^{-65}\cdot x^{42}\cdot x^{75}=}$${\displaystyle x^{-32-65+42+75}=}$${\displaystyle x^{20}}$.