Question

Resolva as expressoes numericas :

a) (2+1/2)^3 (-1+1/2)^2

b)-1/3 [-6+2:(-1+1/2)]

Answer 1

Explicação passo-a-passo:

a) ( 4 + 1 )³ ( -2 + 1)²

______ . ______=

2 2

(5/2)³ . ( -1/2)²=

125/8 . ( + 1/4)=

125/32

b) - 1/3 . [ -6 + 2 : ( - 1/2)]=

- 1/3 . [ - 6 + 2 . (-2/1)]=

- 1/3 . [ - 6 - 4]=

- 1/3 . [ - 10]=

+ 10/3

Answer 2

$\sf{segue \: abaixo \: a \: resposta}$

$\sf{(2+1/2)^3 (-1+1/2)^2 }$

$\sf{( \frac{5}{2} ) {}^{3} x( - 1 + \frac{1}{2}) {}^{2} }$

$\sf{( \frac{5}{2}) {}^{3} x( - \frac{1}{2} ) {}^{2} }$

$\sf{ \frac{125}{8}x( - \frac{1}{2}) {}^{2} }$

$\sf{ \frac{125}{8}x (\frac{1}{2} ) {}^{2} }$

$\sf{ \frac{125}{8}x \frac{1}{4} = }$

$\boxed{\boxed{{\sf{ \frac{125}{32} }}}}$

b)

$\sf{-1/3 [-6+2:(-1+1/2)]}$

$\sf{ - \frac{1}{3} x( - 6 + 2 \div ( - \frac{1}{2})) }$

$\sf{ - \frac{1}{3} x( - 6 - 2 \div \frac{1}{2} )}$

$\sf{ - \frac{1}{3} x( - 6 - 2x2)}$

$\sf{2x2 = 4}$

$\sf{ - \frac{1}{3} x( - 6 - 4)}$

$\sf{ - \frac{1}{3}x( - 10) }$

$\sf{ \frac{1}{3}x10 }$

$\boxed{\boxed{{\sf{ \frac{10}{3} }}}}$