Question

1) calcule o valor de cada uma das expressões

a) A= (2/3) elevado a 2 + ( 3/5) elevado a menos 1 - (-2) elevado a 3


b) B= 2 elevado a 3 . (2 elevado a menos 1) elevado a 2 + ( 2/3) elevado a menos 1​

Answer 1

Resposta:

a) $\frac{91}{9}$

b) $\frac{7}{2}$

Explicação passo a passo:

a) A = $(\frac{2}{3})^{2}$ + $(\frac{3}{5})^{-1}$ - $(-2)^{3}$

A  = $(\frac{2^{2} }{3^{2}}) + (\frac{5}{3}) - (-2 * -2 * -2)$

A = $\frac{4}{9} + \frac{5}{3} + 8$

A =  $\frac{4 + 15 + 72}{9}$

A = $\frac{91}{9}$

b) B = $2^{3} . (2^{-1})^{2} + (\frac{2}{3})^{-1}$

B = $8 . (\frac{1}{4}) + \frac{3}{2}$

B =$2 + \frac{3}{2}$

B = $\frac{4+3}{2}$

B = $\frac{7}{2}$

Answer 2

Resposta:

a)

${( \frac{2}{3} )}^{2} = \frac{4}{9} + \frac{5}{3} - ( - 8)$

$\frac{57}{27} - ( - 8) \times = \frac{57}{27} + 8$

$\frac{273}{27} = \frac{91}{9}$

b)

${2}^{3} \times { ({2}^{ - 1} )}^{2} + \frac{3}{2}$

${2}^{1} + \frac{3}{2} = \frac{7}{2}$