Respostas
a) 5^6 . 5^2 =
5^6 = 5.5.5.5.5.5 = 15625
5^2 = 5.5 = 25
5^6 . 5^2 =
15625 . 5^2 =
15625 . 25 = 390625
b) 4^6 . 4^7 =
4^6 = 4.4.4.4.4.4 = 4096
4^7 = 4.4.4.4.4.4.4 = 16384
4^5 . 4^7 =
4096 . 4^7 =
4096 . 16384 = 67108864
c) 5^5 . 5^3 . 5 =
5^5 = 5.5.5.5.5 = 3125
5^3 = 5.5.5 = 125
5 = 5
5^5 . 5^3 . 5 =
3125 . 5^3 . 5 =
3215 . 125 . 5 = 1953125
d) 2^4 . 2 . 2^9 =
2^4 = 2.2.2.2 = 16
2 = 2
2^9 = 2.2.2.2.2.2.2.2.2 = 512
2^4 . 2 . 2^9 =
16 . 2 . 2^9 =
16 . 2 . 512 = 16384
4 - a) (-3)^6 : (-3)^2 =
subtrai os expoentes --> (6 - 2) = 4
(-3)^6 : (-3)^2 = -3^4
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b) (+4)^10 : (+4)^3 =
subtrai os expoentes --> (10 - 3) = 7
(+4)^10 : (+4)^3 = 4^7
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c) (-5)^6 : (-5)^2 =
subtrai os expoentes --> (6 - 2) = 4
(-5)^6 : (-5)^2 = (-5)^4
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d) (+3)⁹ : (+3) =
subtrai os expoentes --> (9 - 1) = 8
(+3)⁹ : (+3) = (+3)^8
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e) (-2)^7 : (-2)^5 =
subtrai os expoentes --> (7 - 5) = 2
(-2)^7 : (-2)^5 = (-2)^2
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f) (-3)^6 : (-3) =
subtrai os expoentes --> (6 - 1) = 5
(-3)^6 : (-3) = (-3)^5