30 +4+5+5+56+8+7+6+5
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7 x 8 = 56 5 x 6 = 30
56 : 7 = 8 30 : 5 = 6
56 : 8 = 7 30 : 6 = 5
1.
$(5^{1986}-5^{1985}):5^{1985}=5^{1985}(5-1):5^{1985}=5-1=4$
2.
\((7^{846}+7^{847}):7^{846}=7^{846}(1+7):7^{846}=1+7=8\)
3.
\((9^{2018}-3^{4036}):6^{2006}=[(3^2)^{2018}-3^{4036}]:6^{2006}\)
$=(3^{4036}-3^{4036}):6^{2006}=0:6^{2006}=0$
4.
$(7^{80}.8^{70}-56^{70}):56^{70}$
$=[7^{10}(7.8)^{70}-56^{70}]:56^{70}$
$=[7^{10}.56^{70}-56^{70}]:56^{70}$
$=56^{70}(7^{10}-1):56^{70}=7^{10}-1$
5.
$4^{4016}:(4^{4017}-4^{4016})=4^{4016}:[4^{4016}(4-1)]$
$=4^{4016}:4^{4016}:3=1:3=\frac{1}{3}$
6.
$(12^{206}.2^{207}-24^{206}):24^{206}$
$=(12^{206}.2^{206}.2-24^{206}):24^{206}$
$=[(12.2)^{206}.2-24^{206}]:24^{206}$
$=(24^{206}.2-24^{206}):24^{206}$
$=24^{206}(2-1):24^{206}=2-1=1$
7.
$(5^2-24)^{8946}+4^{30}:2^{60}=1^{8946}+(2^2)^{30}:2^{60}$
$=1+2^{60}:2^{60}=1+1=2$
8.
$(37.8^{1007}-7.2^{3021}):8^{1007}=[37.8^{1007}-7.(2^3)^{1007}]:8^{1007}$
$=[37.8^{1007}-7.8^{1007}]:8^{1007}$
$=8^{1007}(37-7):8^{1007}=37-7=30$
6 x 4 = 24 4 x 6 = 24 24 : 6 = 4 24 : 4 = 6 | 8 x 5 = 40 5 x 8 = 40 40 : 8 = 5 40 : 5 = 8 | 7 x 8 = 56 8 x 7 = 56 56 : 7 = 8 56 : 8 = 7 |
6 ´ 8= 48 |
28 : 4 = 7 |
35 : 5 = 7 |
7 ´ 9 = 63 |
56 : 7 = 8 |
4 ´ 6 = 24 |
5 ´ 4 = 20 |
42 : 6 = 7 |
36 : 6 = 6 |
3 ´ 8 = 24 |
45: 5 = 9 |
49 :7 = 7 |
9 × 5 = 45
6 × 4 = 24
63 : 7 = 9
40 : 5 = 8
8 × 8 = 64
7 × 5 = 35
56 : 8 = 7
42 : 6 = 7
9 x 5 = 45
63 : 7 = 9
8 x 8 = 64
5 x 7 = 35
8 x 7 =56
3 x 8 = 24
40 : 5 = 8
5 x 5 = 25
7 x 5 = 35
7 x 8 =56
6 x 4 = 24
45 : 9 = 5
7 x 7 = 49
35 : 5 = 7
56 : 8 = 7
2 x 8 = 16
81 : 9 = 9
9 x 9 = 81
35 : 7 = 5
56 : 7 = 8
` 1/2 + 3/4 - 5/6 = 6/12 + 9/12 - 10/12 = 5/12`
` ( 5/6 + 3/8) xx 2/7 = ( 15/24 + 9/24) xx 2/7 = 29/24 xx 2/7 = 29/84`
` ( 7/6 - 3/4) : 3/5 = ( 14/12 - 9/12) : 3/5 = 5/12 : 3/5 = 5/12 xx 5/3 = 25/36`
` 6/7 xx 2/3 : 5/7 = 6/7 xx 2/3 xx 7/5 = 4/5`
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