Răspuns:
Explicație pas cu pas:
a)
13 - [ - 2 + 5 - ( - 4 + 16 ) - 2 ] =
= 13 - [ 3 - ( + 12) - 2 ] =
= 13 - ( 3 - 12 - 2 ) =
= 13 - ( - 9 - 2 ) =
= 13 - ( - 11 ) =
= 13 + 11 =
= 24
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b)
1 - [ ( - 4 ) - 6 × ( - 2 ) + ( - 3 - 5 ) : 2 ] + 15 : ( - 5 ) =
= 1 - [ - 4 + 12 + ( - 8 ) : 2 ] - 3 =
= 1 - ( 8 - 4 ) - 3 =
= 1 - 4 - 3 =
= - 3 - 3 =
= - 6
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c)
[ ( - 2)³ - 10 × ( - 5 )² + 2 × ( - 10 + 10 : 2 )] × ( - 10 ) =
= [ - 8 - 10 × 25 + 2 × ( - 10 + 5 ) ] × ( - 10 ) =
= [ - 8 - 250 + 2 × ( - 5 ) ] × ( - 10 ) =
= ( - 258 - 10 ) × ( - 10 ) =
= ( - 268 ) × ( - 10 ) =
= 2 680
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d)
- 32 - ( - 2)³ + 0⁹ + ( - 1 )¹⁰ - ( - 4)⁰ =
= - 32 - ( - 8) + 0 + 1 - 1 =
= - 32 + 8
= - 24
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e)
( - 2)¹⁰¹ : 2⁹⁹ - 10 x { - 3 - 3 x [ ( - 3 )⁵ : 3⁴ - 2 ] } =
= - 2¹⁰¹⁻⁹⁹ - 10 x [ - 3 - 3 x ( - 3⁽⁵⁻⁴⁾ - 2 ) ] =
= - 2² - 10 x [ - 3 - 3 x ( - 3¹ - 2 ) ] =
= - 4 - 10 x [ - 3 - 3 x ( - 5 )] =
= - 4 - 10 x ( - 3 + 15 ) =
= - 4 - 10 x ( + 12 ) =
= - 4 - 120 =
= - 124