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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.
$(37.8^{1007}-7.2^{3021}):8^{1007}=[37.8^{1007}-7.(2^3)^{1007}]:8^{1007}$
$=[37.8^{1007}-7.8^{1007}]:8^{1007}$
$=8^{1007}(37-7):8^{1007}=37-7=30$
a) 2x12x169-3x8x68-24
=24x169-24x68-24
=24x(169-68-1)
=24x100=2400
b)2x24x56-3x16x36+4x12x95-6x8x3x5
=48x56-48x36+48x95-48x15
=48x(56-36+95-15)
=48x100=4800
A = 35.53 - 18
A = (34 + 1).53 - 18
A = 34.53 + (53 - 18)
A = 34.53 + 35 = B
=> A = B
\(2016x+\left(\dfrac{7}{12}+\dfrac{4}{21}+\dfrac{2}{24}+\dfrac{11}{30}+\dfrac{3}{41}+\dfrac{15}{56}\right)-\left(\dfrac{2}{3}+\dfrac{2}{4}+\dfrac{2}{5}\right)=0\)
\(2016x+\left[\left(\dfrac{7}{12}+\dfrac{2}{24}\right)+\left(\dfrac{4}{21}+\dfrac{11}{30}+\dfrac{3}{41}+\dfrac{15}{56}\right)\right]-\dfrac{47}{30}=0\)
\(2016x+\left(\dfrac{2}{3}+\dfrac{1473}{1640}\right)=0+\dfrac{47}{30}\)
\(2016x+\dfrac{2}{3}+\dfrac{1473}{1640}=\dfrac{47}{30}\)
\(2016x+\dfrac{2}{3}=\dfrac{47}{30}-\dfrac{1473}{1640}\)
\(2016x+\dfrac{2}{3}=\dfrac{3289}{4920}\)
\(2016x=\dfrac{3289}{4920}-\dfrac{2}{3}\)
\(2016x=\dfrac{3}{1640}\)
\(x=\dfrac{3}{1640}:2016\)
\(x=\dfrac{1}{1102080}\)
________
- Chị nghĩ có thể là em ghi sai đề. Hoặc là cô/thầy của em ra đề như vậy. TvT
- Chúc em học tốt.
a: \(\dfrac{16}{15}\cdot\dfrac{-5}{14}\cdot\dfrac{54}{24}\cdot\dfrac{56}{21}\)
\(=\dfrac{16}{24}\cdot\dfrac{-5}{15}\cdot\dfrac{54}{21}\cdot\dfrac{56}{14}\)
\(=\dfrac{2}{3}\cdot\dfrac{-1}{3}\cdot\dfrac{18}{7}\cdot4\)
\(=\dfrac{-2\cdot2\cdot4}{7}=-\dfrac{16}{7}\)
b: \(\dfrac{7}{3}\cdot\dfrac{-5}{2}\cdot\dfrac{15}{21}\cdot\dfrac{4}{-5}\)
\(=\dfrac{7}{3}\cdot\dfrac{5}{7}\cdot\dfrac{5}{2}\cdot\dfrac{4}{5}\)
\(=\dfrac{5}{3}\cdot\dfrac{4}{2}=\dfrac{5}{3}\cdot2=\dfrac{10}{3}\)
c: \(\left(-\dfrac{2}{5}+\dfrac{1}{3}\right)\left(\dfrac{3}{2}-\dfrac{3}{7}\right)\)
\(=\dfrac{-2\cdot5+3}{15}\cdot\dfrac{3\cdot7-3\cdot2}{14}\)
\(=\dfrac{-7}{15}\cdot\dfrac{15}{14}=\dfrac{-7}{14}=-\dfrac{1}{2}\)
d: \(\left(\dfrac{1}{2}-\dfrac{1}{3}\right)\left(5-\dfrac{1}{4}\right)\)
\(=\dfrac{3-2}{6}\cdot\dfrac{20-1}{4}\)
\(=\dfrac{1}{6}\cdot\dfrac{19}{4}=\dfrac{19}{24}\)
e: \(\left(\dfrac{4}{5}\right)^2=\dfrac{4^2}{5^2}=\dfrac{16}{25}\)
Câu 1 :
Số số hạng là : ( 80 - 1 ) : 1 + 1 = 80 ( số )
Tổng là : ( 80 + 1 ) . 80 : 2 = 3240
Câu 2 :
24 . ( 2x - 6 ) = 7224
2x - 6 = 7224 : 24
2x - 6 = 301
2x = 301 + 6
2x = 307
x = 307 : 2
x = 153.5
Câu 3 :
15x + 42x - 1 = 56
57x = 56 + 1
57x = 57
x = 57 : 57
x = 1
~ đúng thì tk, ko cần ủng hộ~
Câu 1:1+2+3+...+80
=(80+1)×80:2
=81x80:2
=3240
( 56 - 24 ) x 4/3
= 32 x 4/3
= 128/3