380° Вправа 380Алгебра 8 клас Тарасенкова 2025 · § 10 · стор. 107

380. Запишіть як степінь з від’ємним показником:

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

1) ${\displaystyle \frac{1}{a}=}$${\displaystyle a^{-1}}$;

2) ${\displaystyle \frac{1}{m}=}$${\displaystyle m^{-1}}$;

3) ${\displaystyle \frac{1}{c^2}=}$${\displaystyle c^{-2}}$;

4) ${\displaystyle \frac{1}{m^3}=}$${\displaystyle m^{-3}}$;

5) ${\displaystyle \frac{1}{p^4}=}$${\displaystyle p^{-4}}$;

6) ${\displaystyle \frac{1}{n^{12}}=}$${\displaystyle n^{-12}}$;

7) ${\displaystyle \frac{1}{z^{15}}=}$${\displaystyle z^{-15}}$;

8) ${\displaystyle \frac{1}{y^{20}}=}$${\displaystyle y^{-20}}$;

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

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

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

12) ${\displaystyle {\left(\frac{x}{y}\right)}^{10}=}$${\displaystyle {\left(\frac{y}{x}\right)}^{-10}}$.