379° Вправа 379Алгебра 8 клас Тарасенкова 2025 · § 10 · стор. 106

379. Запишіть як степінь з натуральним показником:

${\displaystyle {\left(\frac{A}{B}\right)}^{-n}=}$${\displaystyle {\left(\frac{B}{A}\right)}^n}$; ${\displaystyle A^{-n}=}$${\displaystyle \frac{1}{A^n}}$.

1) ${\displaystyle {(2-m)}^{-5}=}$${\displaystyle \frac{1}{{\left(2-m\right)}^5}}$;

2) ${\displaystyle {(x^3+y)}^{-7}=}$${\displaystyle \frac{1}{{\left(x^3+y\right)}^7}}$;

3) ${\displaystyle {\left(\frac{1}{a}\right)}^{-9}=}$${\displaystyle a^9}$;

4) ${\displaystyle {\left(\frac{1}{m}\right)}^{-8}=}$${\displaystyle m^8}$;

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

6) ${\displaystyle {(-\frac{x}{y})}^{-3}=}$${\displaystyle {\left(-\frac{y}{x}\right)}^3}$.