Question

Determine o valor das expressões numéricas.
(1/3) elevado a 2 + (2/5) elevado a 2
1/4 + (2/5) elevado a 2 - 1/20
(5/4 - 1/3 ) elevado a 2 : 2/7
(1- 1/3) elevado a 2 : ( 1- 2/5) elevado a 2

Answer 1

Resposta:

a)

(1/3)² + (2/5)² =1/9+4/25 =(25+36)/(9*25)

=61/225

b)

1/4 + (2/5)² - 1/20=1/4+4/25-1/20=5/20 +4/25-1/20

= 4/20 +4/25 = 20/100 +16/100 =36/100

=9/25

c)

(5/4 - 1/3 )² : 2/7 = (15/12-4/12)² : (2/7) = (11/12)² * (7/2)

=121/144 *7/2

= 847/288

d)

(1- 1/3)² : ( 1- 2/5)² =(3/3-1/3)² /(5/5-2/5)²

=(2/3)² /(3/5)²

=(4/9) / (9/25) =(4/9) * (25/9)

=100/81