Question

Calcule o valor de cada uma das expressões:
B=(1/2)^-2+(1/3)^-1
C=2.(3/2)^-3+1^15-(-2)^1
D=[(-5/3)^1+(5/2)^-1]^1
E=[3^-1-(-3)^1]^1

Answer 1

Resposta:

• Sabemos que:

$a^-1=\frac{1}{a^1}$

• Dados:

B)

$\frac{1}{2}^{-2}+\frac{1}{3} ^{-1}$

$2^2+3^1=4+3=7$

C)

$2*(\frac{3}{2} )^{-3}+1^{15}-(-2)^{-1}$

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

$2*(\frac{2^2}{3^2})+3$

$2*(\frac{4}{9} )+3$

$\frac{8}{9} +3$

$\frac{8}{9} +\frac{27}{9}$

$\frac{35}{9}$≈3,88888

D)

$[(-\frac{5}{3})^1+(\frac{5}{2})^{-1}]^1$

$-\frac{5}{3}+\frac{2}{5}$

$-\frac{25}{15} +\frac{6}{15}$

$-\frac{19}{15}$≈-1,266666

E)

$[3^{-1}-(-3)^1]^1$

$\frac{1}{3} +3$

$\frac{1}{3}+\frac{9}{3}$

$\frac{10}{3}$≈3,333333

Espero ter ajudado!!