299 Вправа 299Алгебра 8 клас Тарасенкова 2025 · § 8 · стор. 86

299. Обчисліть:

1) ${\displaystyle {0,4}^{-3}=}$${\displaystyle {\left(\frac{2}{5}\right)}^{-3}=}$${\displaystyle {\left(\frac{5}{2}\right)}^3=}$${\displaystyle \frac{125}{8}=}$${\displaystyle 15,625}$;

2) ${\displaystyle {0,1}^{-4}=}$${\displaystyle {\left(\frac{1}{10}\right)}^{-4}=}$${\displaystyle {10}^4=}$${\displaystyle 10000}$;

3) ${\displaystyle {(-0,1)}^{-2}=}$${\displaystyle {(-\frac{1}{10})}^{-2}=}$${\displaystyle {\left(-10\right)}^2=}$${\displaystyle 100}$;

4) ${\displaystyle {(-0,1)}^{-5}=}$${\displaystyle {(-\frac{1}{10})}^{-5}=}$${\displaystyle {\left(-10\right)}^5=}$${\displaystyle -100000}$;

5) ${\displaystyle {\left(1\frac{1}{3}\right)}^{-2}=}$${\displaystyle {\left(\frac{4}{3}\right)}^{-2}=}$${\displaystyle {\left(\frac{3}{4}\right)}^2=}$${\displaystyle \frac{9}{16}}$;

6) ${\displaystyle {(-\frac{1}{3})}^{-4}=}$${\displaystyle {\left(-3\right)}^4=}$${\displaystyle 81}$.