Question

subtraia o quadrado de 3/4 com o cubo 1/2

Answer 1

O quadrado de 3/4: (3/4)² = (3/4) x (3/4) = (3 x 3)/(4 x 4) = 9/16
O cubo de 1/2: (1/2)³ = (1/2)(1/2)(1/2) = 1/(2 x 2 x 2) = 1/8

(3/4)² - (1/2)³ = 9/16 - 1/8

Vamos encontrar o M.M.C. (8, 16), para colocar tudo sobre um mesmo denominador:

8, 16 | 2
4, 8 | 2
2, 4 | 2
1, 2 | 2
1, 1
M.M.C.(8, 16) = 2 x 2 x 2 x 2 = 16

16/8 = 2
1/8 = (2 x 1)/(2 x 8) = 2/16

Dessa forma:

(3/4)² - (1/2)³ = 9/16 - 1/8 = 9/16 - 2/16 = 7/16