Question

a) 2.10^ 10 .8.10^ 3 =

b) -5.10^ -4 .4.10^ 5 =
c) 4.10^ -7 .(-3).10^ -2 =
d) 4.10^ -2 .6.10^ 3 =
e) 1, 5.10 ^ 4 / (5.10 ^ 3) =
f) 3.10 ^ 7 / (3.10 ^ - 2) =
g) (- 2.10 ^ 2) ^ 4 =
h) (7.10 ^ - 6) ^ 2
i) 1, 2.10 ^ - 3 + 3.10 ^ - 3 =
j) 3.10 ^ 4 + 1, 0.10 ^ 4 =​

Answer 1

Resposta:

Explicação passo a passo:

Operação com notação científica

A) 2.10^ 10 .8.10^ 3 =

= 2.8.10^10.10^3

= 16.10^(10+3)

= 26.10^13

= 2,6.10.10^13

= 2,6.10^(1+13)

= 2,6 . 10^14

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b) -5.10^ (-4) .4.10^ 5 =

= - 20. 10^(-4+5)

= - 20.10

= - 200

= - 2 . 10^2

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c) 4.10^ -7 .(-3).10^ -2 =

= - 12.10^(-7-2)

= - 12.10^(-9)

= - 1,2.10.10^(-9)

= - 1,2.10^(-9+1)

= - 1,2.10^(-8)

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d) 4.10^ (-2) .6.10^ 3 =

= 24.10^(3-2)

= 24.10

= 2,4.10^1

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e) 1, 5.10 ^ 4 / (5.10 ^ 3) =

= 15.10^(-1).10^4 / 5 . 10^3

= 3 . 10^3 / 10^3

= 3

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f) 3.10 ^ 7 / (3.10 ^ - 2) =

= 3/3 . 10^7.10^2

= 1.10^(7+2)

= 1. 10^9

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g) (- 2.10 ^ 2) ^ 4 =

= (- 2)^4 . (10^2)^4

= 16. 10^8

= 1,6 . 10 . 10^8

= 1,6 . 10^9

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h) (7.10 ^ - 6) ^ 2

= 7^2 . 10^(-6)^2

= 49.10^(-12)

= 4,9 . 10 . 10^(-12)

= 4,9 . 10^(-11)

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i) 1, 2.10 ^ - 3 + 3.10 ^ - 3 =

= (1,2+3,0).10^(-3)

= 4,2.10^(-3)

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j) 3 . 10 ^ 4 + 1, 0 . 10 ^ 4 =​

= (3+1).10^(-4)

= 4.10^4

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