Question

ALGUEM ME AJUDA POR FAVOR, E PRA ENTREGAR HOJE!
Lista de exerc ́ıcios
1) Calcule as potˆencias.
a) (+3)2
b) (+5)4
c) (+6)2
d) (−9)2
e) (−7)3
f) (−3)2
g) (−1)8
h) (+8)1
i) (+525)0

2) Compare as potˆencias usando >, < ou =.
a) (−7)0
e (+19)0
b) (−6)1
e (−1)8
c) (−2)8
e (+3)3
d) (+2)7
e (−2)7
3) Reduza a uma s ́o potˆencia.
a) (+4)2
· (+4)4
b) (−10)5
· (−10)2
· (−10)7
c) (−13) · (−13)4
· (−13)

d) (−4)7
: (−4)3

4) Aplique as propriedades de potˆencia.
a)
+23
5
b) h
(−4)2
i3
c) h
(−7)5
i4
d) [(−7) · (−4)]5
e) [(−2) · (+3)]2
f) [(−3) · (+15) · (−7)]4

5) Resolva as seguintes express ̃oes:
a) (−2)3
: (−8)
b) (−7)2
: (−6 − 1)
c) (−4 + 1)2 + (+3)2 − (−1)5
d) (−2)3
· (−3)2 − (−3)2
· (−1)6
e) (7 − 12)2 − (−4)2 + (14)0
f) (−3)3
· (−2)3 − (−10)1
· (−1)5

6) Determine:
a) √
1
b) √
36
c) −
√
64
d) −
√
25

e) √
169
f) −
√
225

Answer 1

1) Calcule as potˆencias.

a) (+3)2 = 9

b) (+5)4 = 3.125

c) (+6)2 = 36

d) (−9)2 = 81

e) (−7)3 = -343

f) (−3)2 = 9

g) (−1)8 = 1

h) (+8)1 = 8

i) (+525)0 = 1

2) Compare as potˆencias usando >, < ou =.

a) (−7)0 = (+19)0

b) (−6)1 < (−1)8

c) (−2)8 > (+3)3

d) (+2)7 > (−2)7

3) Reduza a uma s ́o potˆencia.

a) (+4)2 · (+4)4 = (+4)6

b) (−10)5 · (−10)2 · (−10)7 = (-10)14

c) (−13) · (−13)4 · (−13) = (-13)6

d) (−4)7 : (−4)3 = (-4)4

4) Aplique as propriedades de potˆencia.

a)+23^5 = 6.436.343

b) h(−4)2 = 16

c) h(−7)5 = 16.807

d) [(−7) · (−4)]5 = 17.210.368

e) [(−2) · (+3)]2 = 36

f) [(−3) · (+15) · (−7)]4 = 9.845.600.625

5) Resolva as seguintes express ̃oes:

a) (−2)3: (−8) = 1

b) (−7)2: (−6 − 1) = -2

c) (−4 + 1)2 + (+3)2 − (−1)5 = 19

d) (−2)3· (−3)2 − (−3)2· (−1)6 = -63

e) (7 − 12)2 − (−4)2 + (14)0 = 10

f) (−3)3· (−2)3 − (−10)1· (−1)5 = 206

6) Determine:

a) √1 = 1

b) √36 = 6

c) −√64 = -8

d) −√25 = -5

e) √169 = 13

f) −√225 = - raiz de (25 . 9)

- raiz de (5^2 . 3^2)

- (5 . 3)

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