Question

Scrieti sub forma de puteri care au aceeasi baza fractiile 0,(1) la puterea a cincea si 1 supra 27 la puterea a opta

Answer 1

$(0,(1))^{5} =(\frac{1}{9} )^{5} = \frac{ 1^{5} }{9^{5}} = \frac{ 1^{5} }{(3^{2})^{5}} =1^{5}\cdot 3 ^{-10}}= 3 ^{-10} \\ \\ ( \frac{1}{27})^8 = \frac{1^8}{(3^{3})^{8}} = \frac{1}{3^{24}} =3^{-24}$