Respostas
Boa sorte <3
Resposta:
Explicação passo a passo:
1.
A)
13^2 = 169
B)
2^7 = 128
C) 29^0 = 1
D) 7^1 = 7
E)
(-6)^3 = - 216
F)
- 6^3 = - 216
G)
(-1/3)^4 = 1/81
H)
(8/5)^3 = 512/125
I)
3,3^2 = (33/10)^2 = 10,89
J)
7^(-2) = 1/49
K)
(5/2)^(-3) = (2/5)^3 = 8/125
L)
(-9)^(-2) = (-1/9)^2 = 1/81
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2)
a^6.b^2 . a^(-6) = b^2
b^(-4)/a^3
b^2 . b^4 . a^(-3) = b^6 . a^(-3)
Falso
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3)
A)
3^5 . 3^7 = 3^12
B)
= 5^3.(5^2)^4. 5^(-2)
= 5^3 . 5^8 . 5^(-2)
= 5^11 . 5^(-2)
= 5^9
C)
= 4^3. 1 . 2^9 / 8^4 . 2^4
= (2^2)^3 . 2^9 / (2^3)^4. 2^4
= 2^6 . 2^9 / 2^12 . 2^4
= 2^15 / 2^16
= 2^(-1)
D)
X^(5+2) = (x^7)^3 = x^21
_____________
4).
64/343
4^3 / 7^3
= (4/7)^3
________________
5.
A)
0,000001
= 1.10^(-6)
B)
0,01 = 1.10^(-2)
C)
1/100000
= 1/10^5
= 10^(-5)
= 0,00001
D)
1000/10000 = 1/10 = 10^(-1)
E)
10000 = 10^4
F)
1000000 . 1000 = 10^9
_________
6)
-2^2 = - 4
(-2)^(-3)= (-1/2)^3 = -1/8 = -0,125
2^3 = 8
(1/2)^(-1)= 2
(-1/2)^(-3)= (-2)^3 = - 8
(2/3)^2 = 4/9 = 0,44
(3/2)^2 = 9/4 = 2,25
-3° = - 1
(-3)^1 = - 3
(-1/2)^(-3) < -2^2 < (-3)^1 < -3° < (-2)^(-3) < (2/3)^2 < (1/2)^(-1) < (3/2)^2 < 2^3
__________
7)
64 . 1/8 + 81. 1/9 = 8 + 9 = 17
5 . (1,2)^(-1) = 5. (12/10)^(-1)
= 5. 10/12 (:2)/(:2)
= 5.5/6
= 25/6
17 : 25/6 = 17 . 6/25 = 102/25
________
8)
[3. 2^2 - (3)^2 + (0,2)^(-3)]/p^2 = 8
[3.4. - 9 + (2/10)^(-3)] = 8.p^2
[12 - 9 + 5^3] = 8.p^2
[3 + 125] = 8.p^2
128/8 = p^2
2^7 / 2^3 = p^2
2^4 = p^2
16 = p^2
4^2 = p^2
P = \/16
p = +/- 4
__________
9)
= 4^9
= 262144
= 4^7 . 4^13
= 4^20
= 16384 . 67108864
= 1,6384.10^4 . 6,7108864.10^7
= 10,995116278. 10^11
= 10995116278.10^(-9).10^11
= 10995116278.10^2
= 1.099.511.627.800
= 4^8 + 4^15
= 65.536 + 1.073.741.824
= 1.073.807.360
_____________
10. (Ok)
A)8 cm
A = 8^2 = 64 cm^2
B)
A = n^2
C)
5^2 = 25 cm^2
8^2 = 64 cm^2
10^2 = 100 cm^2
D)
81 cm^2
L = 9 cm
Não pertence. Pois segue a sequência: 2,4,6,8,10...
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