Question

1) resolva as expressões numéricas. a) 2 · [(6 + 7 · 9 ) :3² + (21 – 5 · 4)] = b) 18 : 3 + (81-8) = c) 4³ + 64 – (10 : 25) = d) 3 : 3 + 5² · 2² = e) 3⁴ + 64 – 121 · 36 = f) 7¹ + 3 ·49 - 2³ + 2 · 144= g) 10³ - (81 · 6⁰) = h) (4³ : 38 ) + (9² : 327) = i) (5³ - 125) · (8⁰ + 169) = j) [6³ - (31000 · 625 + 13²)] : 9 = l) 10² : 5 + 3 · 2³ - 1²⁰ =

Answer 1

Resposta:

Explicação passo-a-passo:

a) 2 · [(6 + 7 · 9 ) :3² + (21 – 5 · 4)] =

= 2.[(6+63):9 + (21 - 20)]

= 2.[69/9 + 1]

= 138/9 + 2

= (138+9.2)/9

= (138+18)/9

= 156/9

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b) 18 : 3 + (81-8) =

= 6 + 73

= 79

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c) 4³ + 64 – (10 : 25)

= 64+64 - 10/25 (:5)/(:5)

= 128 - 2/5

= (128.5 - 2)/5

= (640-2)5

= 638/5

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d) 3 : 3 + 5² · 2² =

= 1 + 25.4

= 1+100

= 101

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e) 3⁴ + 64 – 121 · 36 =

= 81 + 64 - 4356

= 145 - 4356

= - 4211

f) 7¹ + 3 ·49 - 2³ + 2 · 144=

= 7 + 147 - 8 + 288

= 154 + 280

= 434

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g) 10³ - (81 · 6⁰) =

= 1000 - (81.1)

= 1000 - 81

= 919

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h) (4³ : 38 ) + (9² : 327) =

= 64/38 (:2)/(:2) + 81/327 (:3)/(:3)

= 32/19 + 27/109

= (109.32 + 19.27)/2071

= (3488 + 513)/2071

= 4001/2071

____________

Obs.: Mmc (109,19) = 2071

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i) (5³ - 125) · (8⁰ + 169) =

= 125-125 . (1+169)

= 0.170

= 0

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j) [6³ - (31000 · 625 + 13²)] : 9 =

= [216 - (19375000 + 169] : 9

= [216 - 19375169]] / 9

= - 19374953 ÷ 9

= - 2152772,555

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l) 10² : 5 + 3 · 2³ - 1²⁰

= 100:5 + 3.8 - 1

= 20 + 24 - 1

= 20 + 23

= 43