337° Вправа 337Алгебра 8 клас Тарасенкова 2025 · § 9 · стор. 95

337. Запишіть як степінь:

1) ${\displaystyle 7^{-7}\cdot {10}^{-7}=}$${\displaystyle {(7\cdot 10)}^{-7}=}$${\displaystyle {70}^{-7}}$;

2) ${\displaystyle 7^{-7}:{10}^{-7}=}$${\displaystyle {(7:10)}^{-7}=}$${\displaystyle {0,7}^{-7}}$;

3) ${\displaystyle {15}^{-10}\cdot 3^{-10}=}$${\displaystyle {(15\cdot 3)}^{-10}=}$${\displaystyle {45}^{-10}}$;

4) ${\displaystyle {15}^{-10}:3^{-10}=}$${\displaystyle {(15:3)}^{-10}=}$${\displaystyle 5^{-10}}$;

5) ${\displaystyle z^{-3}\cdot x^{-3}\cdot y^{-3}=}$${\displaystyle {\left(zxy\right)}^{-3}}$;

6) ${\displaystyle \frac{a^{-7}{c}^{-7}}{x^{-7}}=}$${\displaystyle {\left(\frac{ac}{x}\right)}^{-7}}$.