Question

Resolva:

a) (2/3 × 5/16 - 1/3) elevado a 4

b) (5/6 - 3/4 ÷ 9/2) elevado a 5

c) (4/3 × 5/16 + 7/4) elevado a 2

d) (-1/9 + 6/15 ÷ 3/5) elevado a 3

e) (7/8 ÷ 1/4 + 1/2) elevado a 4

f) 3/4 × 8/3 - 5/12 ÷ 10/3) elevado a 2​

Answer 1

Resposta:

Explicação passo a passo:

a)(2/3 x 5/16 - 1/3)⁴ =

(10/48 - 1/3) = m.m.c = 48

(10/48 - 16/48)⁴ =

(-6/48)⁴ = simplificando

(-1/8)⁴ = 1/4096

b) (5/6  - 3/4 : 9/2)⁵ =

(5/6 - 3/4 x 2/9)⁵ =

(5/6 - 6/36)⁵ = m.m.c = 36

(30/36 - 6/36)⁵ =

(24/36)⁵ = simplificando por 6

(4/6)⁵ = 1024/7776

c) (4/3 x 5/16 + 7/4)² =

(20/48 + 7/4)² = m.mc = 48

(20/48 + 84/48)² =(104 /48)² = simplificando por 8 = (13/6)² = 169/36

d)(-1/9 + 6/15 : 3/5)³ =

(-1/9 + 6/15 x 5/3)³ = (-1/9 + 30/45)³ = m.m.c = 45

(-5/45 + 30/45)³ = (25/45)³ = simplificando por 5 = (5/9)³ = 125/729

e) (7/8 : 1/4 + 1/2)⁴ = (7/8 x 4/1 + 1/2)⁴ = (28/8 + 1/2)⁴ = m.m.c = 8

(28/8 + 4/8)⁴ = (32/8)⁴ = (4)⁴ = 256

f) (3/4 x 8/3  - 5/12 : 10/3)² =

(24/12 - 5/12 x 3/10)² = (24/12 -15/120)² = m.m.c = 120

(240/120 - 15/120)² = (225/120)² =  simplificando por 15

(15/8)² = 225/64