335° Вправа 335Алгебра 8 клас Тарасенкова 2025 · § 9 · стор. 95

335. Запишіть як степінь:

${\displaystyle {\left(a^m\right)}^n=}$${\displaystyle a^{mn}}$.

1) ${\displaystyle {\left(2^{-1}\right)}^8=}$${\displaystyle 2^{-1\cdot 8}=}$${\displaystyle 2^{-8}}$;

2) ${\displaystyle {\left(3^{-15}\right)}^{-2}=}$${\displaystyle 3^{-15\cdot \left(-2\right)}=}$${\displaystyle 3^{30}}$;

3) ${\displaystyle {\left(3^{15}\right)}^{-2}=}$${\displaystyle 3^{15\cdot \left(-2\right)}=}$${\displaystyle 3^{-30}}$;

4) ${\displaystyle {\left({10}^{-8}\right)}^0=}$${\displaystyle {10}^0=}$${\displaystyle 1}$;

5) ${\displaystyle {\left(x^{-9}\right)}^0=}$${\displaystyle x^0=}$${\displaystyle 1}$;

6) ${\displaystyle {\left(x^0\right)}^9=}$${\displaystyle x^0=}$${\displaystyle 1}$;

7) ${\displaystyle {\left(x^{11}\right)}^{-4}=}$${\displaystyle x^{-44}}$;

8) ${\displaystyle {\left(x^{-8}\right)}^{-4}=}$${\displaystyle x^{32}}$;

9) ${\displaystyle {\left(x^{-3}\right)}^3=}$${\displaystyle x^{-9}}$.