Question

resolva as expressões:
a)– {+15 – [(–4 + 20) – 20] – 17}

b)3 x (–4) + (–5) x (–6) x (–2) + (–4) x (–7)

c)2 + {5 x [(6 – 4 : 2)² – 15]⁴ – 3}³

d)(7 – 6)³ – [4 – (5² – 2²) x 7]

e){[5³ – 2⁴ : 8 – (2 – 7 – 4 : 2)] – 1⁸}

Answer 1

a)
= – {+15 – [(–4 + 20) – 20] – 17}
= - { 15 - [ 16 - 20] - 17}
= - {15 - [- 4] - 17}
= - {15 + 4 - 17}
= - { 2}
= - 2

b)
= 3.(–4) + (–5).(–6).(–2)+(–4). (–7)
= - 12 + 30.(-2) + 28
= - 12 - 60 + 28
= - 72 + 28
= - 44

c)
= 2 + {5 x [(6 – 4 : 2)² – 15]⁴ – 3}³
= 2 + {5 . [( 6 - 2)^2 - 15]^4 - 3}^3
= 2 +{ 5. [ 4^2 - 15]^4 - 3}^3
= 2 + {5. [ 16 - 15]^4 - 3}^3
= 2 + {5.[ 1^4] - 3}^3
= 2 + {5.[1] - 3}^3
= 2 + {5 - 3}^3
= 2 + 2^3
= 2 + 8
= 10

d)
= (7–6)³ – [4 – (5² – 2²) x 7]
= 1^3 - [ 4 - (25 - 4) . 7]
= 1 - [ 4 - 21.7]
= 1 - [ 4 - 147]
= 1 - [ - 143]
= 1 + 143
= 144

e)
= {[5³ – 2⁴ : 8 – (2–7 – 4:2)] – 1⁸}
= {[125 - 16 : 8 - ( - 5 - 2)] - 1}
= {[125 - 2 - (- 7)] - 1}
= { 123 + 7 - 1}
= 130 - 1
= 129