Question

Resuelve las siguientes operaciones.
a) 5+(6+5)2 +3−8+9 =
b) −4+(−8+4)3 +6−32 +43 =
c) 12+62 +(−3)4 −8+92 =
d) (8+2)2 +63 −24 +(−5)3 =
e) 7+2(3+2)3 +3(42 −20)−8(32 +23 )+2 =

Answer 1

Explicación paso a paso:

a) 5+(6+5)2 +3−8+9

=5+12+10+3-8+9

=31

b) −4+(−8+4)3 +6−32 +43

=-4-24+12+6-32+43

=1

c) 12+62 +(−3)4 −8+92

=12+62-12-8+92

=146

d) (8+2)2 +63 −24 +(−5)3

=16+4+63-24-15

=44

e) 7+2(3+2)3 +3(42 −20)−8(32 +23 )+2

7+2(5)3 +3(22)−8(55 )+2

5+30+66-440+2

-337

Answer 2

$a) \: 5 + {(6 + 5)}^{2} + 3 - 8 + 9 = \\ = 5 + {(11)}^{2} + 3 - 8 + 9 = \\ = 5 + 121 + 3 - 8 + 9 = \\ = 138 - 8 = 130$

$b) \: - 4 + ( - 8 + 4)^{3} + 6 - 32 + 43 = \\ = - 4 + { - 4}^{3} + 6 - 32 + 43 = \\ = - 4 + ( - 64) + 6 - 32 + 43 = \\ = - 4 - 64 + 6 - 32 + 43 = \\ = - 100 + 49 = - 51$

$c) \: 12 + 62 + { - 3}^{4} - 8 + 92 = \\ = 12 + 62 + 81 - 8 + 92 = \\ = 257 - 8 = 249$

$d) \: {(8 + 2}^{2} + 63 - 24 + { (- 5)}^{3} = \\ = (10)^{2} + 63 - 24 + {( - 5)}^{3} = \\ = 100 + 63 - 24 + ( - 125) = \\ 100 + 63 - 24 - 125 = \\ = 163 - 149 = 14$

$e) \: 7 + 2 {(3 + 2)}^{3} + 3(42 - 20) - 8(32 + 23) + 2 = \\ = 7 + 2 {(5)}^{3} + 3(22) - 8(55) + 2 = \\ = 7 + 2(125) + 3(22) - 8(55) + 2 = \\ = 7 + 250 + 66 - 440 + 2 = \\ = 325 - 440 = - 115$