Question

Resolver a expressão

Answer 1

Resposta:

Explicação passo a passo:

0,2666...

x=0,2666..

10x=2,666...

100x=26,666...

100x-10x=26,666...-2,666...

90x=24

x=24/90

x=4/15

0,333...

x=0,333...

10x=3,333...

10x-x=3,3333...-0,333...

9x=3

x=3/9

x=1/3

0,2666... + 5^-1.[(1/3^-3+3^2.(-2)^3]/(0,333...)^-2.(-5)=

4/15 + 1/5.[(3^3+9.(-8)]/(1/3)^-2.(-5)=

4/15+1/5.[27-72]/3^2.(-5)=

4/15+1/5.[-45]/9.(-5)=

4/15+1/5.-45/-45=

4/15+1/5.1=

4/15+1/5=

4/15+3/15=

7/15