Răspuns:
[tex]a) \ (-1)^{-3} = \dfrac{1}{(-1)^{3}} = \dfrac{1}{-1} = -1[/tex]
[tex]b) \ (-3)^{-2} = \dfrac{1}{(-3)^{2}} = \dfrac{1}{3^2} = \dfrac{1}{9}[/tex]
[tex]c) \ \bigg(-\dfrac{1}{4}\bigg)^{0} = 1[/tex]
Orice număr nenul la puterea 0 este 1.
[tex]d) \ \bigg(\dfrac{2}{3}\bigg)^{-2} = \bigg(\dfrac{3}{2}\bigg)^{2} = \dfrac{3^2}{2^2} = \dfrac{9}{4}[/tex]
[tex]e) \ [-0,(6)]^{-3} = \bigg(-\dfrac{6}{9}\bigg)^{-3} = \bigg(-\dfrac{2}{3}\bigg)^{-3} = \bigg(-\dfrac{3}{2}\bigg)^{3} = -\dfrac{3^3}{2^3} = -\dfrac{27}{8}[/tex]
[tex]\boxed{\boldsymbol{a^{-m}=\dfrac{1}{a^{m} }}}[/tex]
