389° Вправа 389Алгебра 8 клас Тарасенкова 2025 · § 10 · стор. 108

389. Піднесіть до степеня вираз:

1) ${\displaystyle {(0,4x^8{y}^{-3})}^{-1}=}$${\displaystyle {\left(\frac{2}{5}\right)}^{-1}{x}^{-8}{y}^3=}$${\displaystyle 2,5x^{-8}{y}^3}$;

2) ${\displaystyle {\left(m^{-7}{n}^{-2}\right)}^{-3}=}$${\displaystyle m^{\left(-7\right)\left(-3\right)}{n}^{\left(-2\right)\left(-3\right)}=}$${\displaystyle m^{21}{n}^6}$;

3) ${\displaystyle {\left(\frac{a^5}{b^{-2}}\right)}^{-1}=}$${\displaystyle \frac{b^{-2}}{a^5}=}$${\displaystyle \frac{1}{a^5{b}^2}}$;

4) ${\displaystyle {\left(\frac{2a^{-6}}{b^5}\right)}^{-3}=}$${\displaystyle \frac{2^{-3}{a}^{18}}{b^{-15}}=}$${\displaystyle \frac{1}{8}{a}^{18}{b}^{15}}$.