Question

1)Calcule;

A) (-1/10)3

B) (-1/2)5

C) (-9/11)0

D) (-9/11)2

E) (275/50)0

2) calcule as expressões

A) (-1/2)2+2/5

B) (-1/2)3+1

C) (2/5)2-(1/2)3

D) 2+(-1/3)2-1/2

E) 1+(+2/5)-(1/2)2

F) (5-1/3)2+(3+1/2)

Answer 1

1)Calcule;

A) (-1/10)$^3$ =-1/1000

B) (-1/2)$^5$ =-1/32

C) (-9/11)$^0$ =1

D) (-9/11)$^2$ 81/121

E) (275/50)$^0$ 1

2) calcule as expressões

A) (-1/2)$^2$ +2/5=13/20

B) (-1/2)$^3$ +1=7/8

C) (2/5)$^2$ -(1/2)$^3$=7/200

D) 2+(-1/3)$^2$ -1/2=11/18

E) 1+(+2/5)-(1/2)$^2$ =23/20

F) (5-1/3)$^2$ +(3+1/2)=455/18

A) (-1/10)$^3$ =-1/1000

Observar que

10*10*10=1000

1/(10*10*10)=1/1000

Mas temos um - 1.

-1*-1*-1=1*-1=-1

B) (-1/2)$^5$ =-1/32

2*2=4

2*2*2=8

2*2*2*2=16

2*2*2*2*2=32

1/(2*2*2*2*2)=1/32

o sinal negativo é porque temos

(-1)*(-1)*(-1)*(-1)*(-1)=-1

C) (-9/11)$^0$ =1

Todo número elevado a zero e igual a 1.

D) (-9/11)$^2$ 81/121

(-9)*(-9)=81

11*11=121

E) (275/50)$^0$ =1

Todo número elevado a zero e igual a 1.

2) calcule as expressões

A) (-1/2)$^2$ +2/5=13/20

1/4+2/5=(5+8)/20=13/20

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B) (-1/2)$^3$ +1=7/8

-1/8+1/1=(-1+8)/8=7/8

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C) (2/5)$^2$ -(1/2)$^3$=7/200

4/25-1/8=(32-25)/200=7/200

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D) 2+(-1/3)$^2$ -1/2=11/18

2+1/9-1/2=(18+2-9)/18=11/18

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E) 1+(+2/5)-(1/2)$^2$ =23/20

1+2/5-1/4=(20+8-5)/20=23/20

F) (5-1/3)$^2$ +(3+1/2)=455/18

25-10/3+1/9+3+1/2

(25*18-60+2+3*18+9)/18=455/18