Question

Resolva a expressão:

Answer 1

Resposta:

Explicação passo a passo:

0,5^-2 -{0,2^-3-0,1^-2.[0,25^-1/2-(0,1111...)^1/2]}=

(1/2)^-2-{(2/10)^-3-(1/10)^-2.[(1/4)^-1/2-(0,111...)^1/2]}=

2^2-{(10/2)^3-(10/1)^2.[(4/1)^1/2-(1/9)^1/2]}=

4-{(5)^3-100.[√4-√1/9]}=

4-{125-100.[2-1/3]}=

4-{125-100.[6/3-1/3]}=

4-{125-100.5/3}=

4-{125-500/3}=

4-{375/3-500/3}=

4-{-125/3}=

4+125/3=

12/3+125/3=

137/3