va rog mult exercitiile de mai jos
Răspunsuri la întrebare
Răspuns:
Explicație pas cu pas:
3. Calculați:
a) 2⁷⁴ : ( 2³ x 2⁷⁰) + 103 x ( 2 + 2 x 102) =
= 2⁷⁴ : 2⁽³⁺⁷⁰⁾ + 103 x 2 x ( 1 + 102 ) =
= 2⁷⁴ : 2⁷³ + 103 x 2 x 103 =
= 2⁽⁷⁴⁻⁷³⁾ + 2 x 103²=
= 2¹ + 2 x 10 609 =
= 2 x ( 1 + 10609) =
= 2 x 10 610 =
= 21 220
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b)
( 2³)³ : 2⁸ + 6² : ( 2 x 3²) = 4
= 2³ˣ³ : 2⁸ + 36 : ( 2x9) =
= 2⁹ : 2⁸ + 36 : 18 =
= 2⁽⁹⁻⁸⁾ + 2 =
= 2¹ + 2 =
= 4
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c)
( 1+2²) x ( 3² : 9 - 1 ) : 8 + 2018⁰ = 1
= ( 1+4) x ( 9 : 9 - 1) : 8 + 1 =
= 5 x ( 1 - 1) : 8 + 1 =
= 5 x 0 : 8 + 1 =
= 0 : 8 + 1 =
= 0 + 1 =
= 1
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d)
1²⁰¹⁶ + 3⁰ x 2³ x 3² - 2017²⁰¹⁸ : 2017²⁰¹⁸ = 72
= 1 + 1 x 8 x 9 - 2017⁽²⁰¹⁸⁻²⁰¹⁸⁾ =
= 1 + 72 - 2017⁰ =
= 73 - 1 =
= 72
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e)
( 2017 + 2017²) : ( 2017⁰ + 2017¹) = 2017
= 2017 x ( 1+2017) : ( 1 + 2017) =
= 2017 x 2018 : 2018 =
= 2017
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f)
( 3⁰ x 3¹ x 3¹³ : 3⁵ + 1) : [ (3²)³ x 27 + 3⁰] = 1
= ( 3⁽⁰⁺¹⁺¹³⁻⁵⁾ + 1 ) : ( 3⁽²ˣ³⁾ x 3³ + 1) =
= ( 3⁽¹⁴⁻⁵⁾ +1) : ( 3⁽⁶⁺³⁾ + 1) =
= ( 3⁹+1) : ( 3⁹+1) =
= 1
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g)
( 2³ + 2³ )² : ( 2²+2²) : 2 + 2⁰ x 0 =
= (8+8)² : (4+4) : 2 + 1 x 0 =
= 16²: 8 : 2 + 0 =
= (2⁴)² : 2³ : 2 =
= 2⁽⁴ˣ²⁻³⁻¹⁾ =
= 2⁴ =
= 16
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h)
8¹⁶ : ( 2 x 2² x 4¹⁰)² - 2¹ - 2⁰ = 1
= ( 2³)¹⁶ : ( 2⁽¹⁺²⁾ x 2⁽²ˣ¹⁰⁾)² - 2 - 1 =
= 2⁽³ˣ¹⁶⁾ : ( 2⁽³⁺²⁰⁾)² - 3 =
= 2⁴⁸ : 2⁽²³ˣ²⁾ - 3 =
= 2⁽⁴⁸⁻⁴⁶⁾ - 3 =
= 2² - 3 =
= 4 - 3 =
= 1