293° Вправа 293Алгебра 8 клас Тарасенкова 2025 · § 8 · стор. 85

293. Порівняйте значення виразів:

1) ${\displaystyle 4^4=}$${\displaystyle 256}$, ${\displaystyle 4^0=}$${\displaystyle 1}$; ${\displaystyle 4^4>4^0}$;

2) ${\displaystyle {(-4)}^3=}$${\displaystyle -64}$, ${\displaystyle 4^0=}$${\displaystyle 1}$; ${\displaystyle {\left(-4\right)}^3<4^0}$;

3) ${\displaystyle 5^{-5}=}$${\displaystyle \frac{1}{5^5}=}$${\displaystyle \frac{1}{3125}}$, ${\displaystyle \frac{1}{5^{-5}}=}$${\displaystyle 5^5=}$${\displaystyle 3125}$; ${\displaystyle 5^{-5}<\frac{1}{5^{-5}}}$;

4) ${\displaystyle 3^{-4}=}$${\displaystyle \frac{1}{81}}$, ${\displaystyle {10}^0=}$${\displaystyle 1}$; ${\displaystyle 3^{-4}<{10}^0}$;

5) ${\displaystyle \frac{1}{8^{-5}}=}$${\displaystyle 1:\frac{1}{8^5}=}$${\displaystyle 8^5}$; ${\displaystyle \frac{1}{8^{-5}}=}$${\displaystyle 8^5}$;

6) ${\displaystyle 3^{-2}=}$${\displaystyle \frac{1}{9}}$, ${\displaystyle 0^9=}$${\displaystyle 0}$; ${\displaystyle 3^{-2}>0^9}$.