Algebra
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Espressioni con le proprietà delle potenze:
livello avanzato
[(−7)4 ∙ (−7)3 ]: (−7)5
49
[+5 ∙ (+5)3 ∙ (+5)2 ]: (−5)4
25
[(−6)7 ∙ (−6)4 ]: (−6)8
−216
[(−3)4 ]3 : (−3)10
9
[(−4)3 ]4 : (−4)9
−64
[(−5)7 : (−5)5 ]2
[(+9)5 ∙ (+9)2 ∙ (+9) ∙ (+9)3 ]: [(+9)6 ∙ (+9)3 ]
[(−2)6 ∙ (−2)4 ]: [(−2)2 ]3
625
81
16
1
10
[(+10)4 ∙ (+10)−2 ]: (+10)3
[74 : 72 ]3 ∙ 7−4
49
[(−8)5 : (−8)2 ] ∙ (−8)−2
−8
[(−2)3 ∙ (−8)3 ]: (+4)3
64
[(+15)4 : (−5)4 ]: (−3)2
9
[(34 ∙ 273 )3 : 2433 ]: (34 ∙ 33 )2
310
[(85 ∙ 23 )4 : 44 ]: (85 : 162 )
{[(62 ∙ 67 )3 ]2 : (63 )9 }: [(3 ∙ 34 ∙ 37 )3 : (33 )3 ]
[(52 ∙ 55 )3 : (59 ∙ 511 )]: [(710 ∙ 72 )2 : (712 )2 ]
{[(34 ∙ 33 ∙ 30 ∙ 37 ): (34 )3 ] − [(53 )4 ∙ 56 ]: 518 + 310 : 39 }: 11
257
227
5
1
100 + 22 ∙ 52 + [53 ∙ 103 ∙ 203 ]: [24 ∙ 54 ]2
111
{[(2 ∙ 22 ∙ 23 )3 : (20 ∙ 22 ∙ 211 )]5 : (24 )5 }: {[(36 ∙ 29 ) ∙ (37 ∙ 24 )]2 : (62 )13 }
25
[(65 ∙ 63 ∙ 62 )2 ]3 : 658 − [22 ∙ 24 ∙ (52 )3 : 10]: 104 + (22 )3 : 32
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Algebra
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livello avanzato
[33 ∙ 26 ∙ (22 )3 ]: [63 ∙ (22 )4 ] + [(423 : 63 ): 72 ] ∙ [(32 : 32 )5 ]3 + (43 − 4): 2: 5
15
(162 ∙ 83 ∙ 25 ): [(27: 33 ) ∙ 43 ∙ 23 ]
213
(33 : 32 ∙ 35 ) ∙ 272 ∙ 92 : 813
(42 ∙ 27 : 43 )3 ∙ (3 ∙ 94 : 30 : 272 )5
615
(42 ∙ 23 : 8)2 ∙ [(92 ∙ 27: 34 )3 : 90 : 3]
(−12)5 : [(−36: 6)2 ∙ (−6)3 ]: (−22 )2 + [63 ∙ (−1)3 : (−6)2 ]2
[−22 ]−5 ∙ 8−3 ∙ 45 ∙ [(−2)2 ]3 ∙ (−2)3
(−3)4 : (−3)3 − 2−1 : 2
(−3)3 : (−3)2 + 2−1 : 2−2
3
−3
5 4
5 −2
: �� � � : �� � �
3
3
1
125
27
−5
−2
−27
5 2 5 −3 5 −3
3 −8
: �� � ∙ � � ∙ � � � : � �
3
3
3
5
2 −8 3 8
1
9 3
� � : � � ∙ 8 −4 : �183 : 122 ∙ � � �
9
4
6 :2
2
3
1 3 −3
1 3
��� � ∙ 9 � : � � � : (3−9 ∙ 320 )
3
27
38
−
5 1 −2
3 3
5 0
� − � ∙ �−3 + � + � �
4 2
2
8
4
1
(−3)3 ∙ �− �
3 : �− 1�
3
1 3
(−2)2 ∙ �− �
2
3
1 3
2
�− 3�
1 2
1
�
� : ��− � ∙ �− ��
3
3
1 2
�− 3�
2
1 5 1 2 1
1 4 1 3 1 1
�� � ∙ � � : � : �� � ∙ � � : � �� :
2
2
4
2
4
8 8
6 −2
68
13
4
3 −4
3 6
3 5
��− � ∙ �− � � : �− �
5
5
5
5 −2
��� � � �
3
34
−1
−2
1 1 3
1 1 −3
4 2 3 5 −2
�� − − + 1� : � − � � ∙ �� � : � + � �
6 3 4
2 3
13
4 2
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329
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39
2 −1
2 −1
�1 + 3� ∙ [(−2)−2 + 3] ∙ �3 − �
5
40
2 −2
��7� �
41
42
43
44
45
46
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48
49
v 3.0
2 −3
5
��− 2� �
−14
2
��7�
−3
2
livello avanzato
−
3
2
2
: ��− � ∙ �− � �
5
5
2 −8
: �7 �
−1
2
∙ �7� �
2 42
:
�
�
2
7
4
49
1 3
1 2 21 2
�1 + 2� ∙ �3 + 2� : � 4 �
2
8
3
2
1
1
�1 − 2� ∙ �1 + 2�
2
1 3
1 2
1 2
��− 3� : �− 3� � − �1 − 3�
3 4 1 2
1 5
��− 2� : �3� � ∙ �3�
1 3
1 1 2 1 1 2
�3� ∙ ��3 − 4� : �2 − 3� �
3
2
−
2
1
1
�− 2� − 2 (−2)
2
1
�3 − 2�
3 6 3 4
1
∙ �− � � : � � � −
2
2
2
3
1 2
�−4 − 2�
1
∙ �− � + (0,5)2 ∙
1
2
4
1
4 − (−2)2 ∙ �−4 − 16�
(−2)5 : (−2)3 − + �− �
3
3
2
1 2
1 2
2 2
�− 2� + (0,7 − 0,8) ∙ �−30 − �− 2� � + (−2): �− 3�
5
2
2
2
12
1
1
1
1
�−22 + 7 � ∙ ��2� : �2� − 1� − ��2 − 4� − �2 + 4� �
3
1 2
1
3
�−2 ∙ �−1 − � − 4� : (−2)2 − �1 − � : �− + 1 − 0,5�
2
4
2
1 3
1 4
�− 3� ∙ �− 3�
23
2
1
8
−
33
32
−
11
8
2 2
∙ �−1 + � ∙ [(−3)2 ]2
3
1
1 2
1 3
1 2
1 3
��− � ∙ �− � : ��− � � � : �− �
5
5
5
5
1
1
1 4
�− 3� ∙ �− 3�
16
9
1
8
2
1
1
1
��1 − 3� : �2 + 3� � ∙ �1 + 6�
1 1 2
−22 + 3 ∙ �2� ∙ (−2)5
15
8
2 3
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Algebra
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0
livello avanzato
13 1
1
1 3
3 2
��� − � + ∙ �1 − �� − 0,3� + �1 − �
3 2
4
3
7
65
49
2
1 2 2
4
11 2
2
−2 − �5 − 2 � ��6 − 3� − �− 3 + 2� � ∙ (−3)
:
14
23
3− 6
3 −5
45
14
2
1
2 2 6
1 1 2
�− ∙ �− � ∙ � : � − �
4
3
5
3 5
2 2
1
1 3
1 2
���− � : �− � : 42 � � : (−4)5
4
4
−
{[4: (−2)−4 : (−8)]2 }3 : [(−16)−1 ]−4
4
−2
7 −3
7 5
49 −2
∙ � � : �− � + �− �
3
3
9
7 −2
��− � �
3
0
7 4 2 13
3 2 1 4 3
� − � ∙ � − 3� − �2 − � ∙ � − �
4 3
6
2
2 3
0
10 5 2
5 2
1 17 2 9 8 3
7
� − � : �− � + � − � ∙ � − � +
9 6
6
5 25
4 3
20
4
9
3
11 3
3 1 1 2
4
3 1 2
� − − 2� ∙ � − + � − �− � ∙ � − �
4 2
2 3 6
5
2 4
7 1
1 1 1
9
7 7 3 2
��2 + 10� ∙ �12 − 4 − 9� − �3 − 2� ∙ �3 − 12 − 2�� ∙ (−3)2
2
4
3 25 1
2 2
7 3
1 31 5
�7 + 84 + 42� ∙ �9 − 3� + �4 − 2� ∙ �3 − 2 − 6�
−1
1 −2 3
��� � ∙ 5 �
5
2
1 −4
1 3 2 3
∙ � � � : �� � ∙ � � �
5
4
5
{[(−0,1)2 ]−2 }−1
0
3
1 −2
∙ ��− � �
10
{[(−9)−5 ∙ (−9)−1 ]2 : (−3)−12 } ∙ (3)13
1 −2 4 −2 1 −2
�− � ∙ � � : � �
4
3
9
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45
4
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25
100
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Algebra
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Espressioni con le proprietà delle potenze:
3 −2 8 −2
�1 + � : � � : (2−1 + 1)−2
5
5
livello avanzato
9
4
2 −2 2 −1 2 −4
� � ∙ � � :� �
3
3
3
2
3
3 4
1 4 1 4
��− � ∙ �− � : � � � ∙ 2−3 : 2−6
2
3
4
128
{2−2 ∙ 23 : 22 ∙ [(25 ∙ 2)−2 : (23 ∙ 2)−1 ]}−1 : 22
27
68
34 ∙ 3−2 ∙ 30 ∙ 3−1
3
69
(4−2 ∙ 4−3 )2 : (4−3 )−5
4−25
−2
3 2 1
1 −2
�− � : � − 1� ∙ �1 − �
4
4
4
9
16
71
(2,5 ∙ 103 ) ∙ (3 ∙ 102 )
7,5 ∙ 105
72
(5 ∙ 10−2 ) ∙ (2 ∙ 105 )
104
73
(3 ∙ 10−4 )2 : (6 ∙ 103 )
1,5 ∙ 10−11
74
(6 ∙ 102 )2 : (4 ∙ 10−3 )2
2,25 ∙ 10−10
75
(2,4 ∙ 105 ) ∙ (3 ∙ 10−2 ): (8 ∙ 10−7 )
9 ∙ 109
76
(4,5 ∙ 10−5 ) ∙ (2 ∙ 10−3 ) ∙ (3 ∙ 10−7 )
2,7 ∙ 10−14
77
[(9,9 ∙ 10−3 ) ∙ (3 ∙ 102 )2 ] ∙ 10−14
8,91 ∙ 10−12
70
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