445 Вправа 445Алгебра 8 клас Бевз 2025 · § 9 · стор. 90

445. Знайди значення виразу.

а) ${\displaystyle 7\cdot 14^{-1}=}$${\displaystyle \frac{7}{14}=}$${\displaystyle 0,5}$;

б) ${\displaystyle -2^{-4}\cdot 48=}$${\displaystyle -\frac{48}{2^4}=}$${\displaystyle -\frac{48}{16}=}$${\displaystyle -3}$;

в) ${\displaystyle {(-4)}^{-3}:\frac{1}{8}=}$${\displaystyle -\frac{1}{64}\cdot 8=}$${\displaystyle -\frac{1}{8}}$;

г) ${\displaystyle 10:{(-5)}^{-2}=}$${\displaystyle 10:\frac{1}{25}=}$${\displaystyle 10\cdot 25=}$${\displaystyle 250}$;

ґ) ${\displaystyle {(-\frac{3}{4})}^{-3}:\frac{2}{9}=}$${\displaystyle {(-\frac{4}{3})}^3\cdot \frac{9}{2}=}$${\displaystyle -\frac{64}{27}\cdot \frac{9}{2}}$=

=${\displaystyle -\frac{32}{3}=}$${\displaystyle -10\frac{2}{3}}$;

д) ${\displaystyle {(1,5)}^{-3}\cdot {\left(\frac{3}{2}\right)}^4=}$${\displaystyle {\left(\frac{3}{2}\right)}^{-3}\cdot {\left(\frac{3}{2}\right)}^4=}$${\displaystyle \frac{3}{2}=}$${\displaystyle 1,5}$.