234 Вправа 234Алгебра 8 клас Бевз 2025 · § 5 · стор. 51

234. Піднеси до степеня.

а) ${\displaystyle {\left(\frac{m}{3n}\right)}^2=}$${\displaystyle \frac{m^2}{{\left(3n\right)}^2}=}$${\displaystyle \frac{m^2}{9n^2}}$;

б) ${\displaystyle {\left(\frac{a}{2dx}\right)}^3=}$${\displaystyle \frac{a^3}{{\left(2dx\right)}^3}=}$${\displaystyle \frac{a^3}{8d^3{x}^3}}$;

в) ${\displaystyle {(-\frac{3c}{1-a^2})}^2=}$${\displaystyle \frac{{\left(3c\right)}^2}{{(1-a^2)}^2}=}$${\displaystyle \frac{9c^2}{{\left(1-a^2\right)}^2}}$;

г) ${\displaystyle {\left(\frac{-2x}{3abc}\right)}^4=}$${\displaystyle \frac{{(-2x)}^4}{{\left(3abc\right)}^4}=}$${\displaystyle \frac{16x^4}{81a^4{b}^4{c}^4}}$.