64+22-x= 11
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a) \(2^x=16\)
\(2^x=2^4\)
\(\Rightarrow x=4\)
vay \(x=4\)
b) \(4^x=64\)
\(4^x=4^3\)
\(\Rightarrow x=3\)
vay \(x=3\)
c) \(15^x=225\)
\(15^x=15^2\)
\(\Rightarrow x=2\)
vay \(x=2\)
d) \(2^x-15=17\)
\(2^x=32\)
\(2^x=2^5\)
\(\Rightarrow x=5\)
vay \(x=5\)
e) \(2^x-64=2^6\)
\(2^x=2^6+64\)
\(2^x=128\)
\(2^x=2^7\)
\(\Rightarrow x=7\)
vay \(x=7\)
f) \(\left(7x-11\right)^3=2^5.5^2+200\)
\(\left(7x-11\right)^3=800+200\)
\(\left(7x-11\right)^3=1000\)
\(\left(7x-11\right)^3=10^3\)
\(\Rightarrow7x-11=10\)
\(\Rightarrow7x=21\)
\(\Rightarrow x=3\)
vay \(x=3\)
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\(\dfrac{37\cdot5^4}{25^2}=\dfrac{37\cdot5^4}{5^4}=37\\ \dfrac{2^4\cdot2^6\cdot3^8\cdot9^2}{4^4\cdot3^{11}}=\dfrac{2^{10}\cdot3^8\cdot3^4}{2^8\cdot3^{11}}=2^2\cdot3=12\\ \dfrac{3\cdot9^4\cdot9^3}{3^2\cdot9}=\dfrac{3\cdot3^8\cdot3^6}{3^2\cdot3^2}=3^{11}\\ \dfrac{125\cdot5\cdot64-25^3\cdot10\cdot4}{5^7\cdot8}=\dfrac{5^3\cdot5\cdot2^6-5^6\cdot2\cdot5\cdot2^2}{5^7\cdot2^3}=\dfrac{5^4\cdot2^3\left(2^3-5^3\right)}{5^7\cdot2^3}=\dfrac{8-125}{5^3}=\dfrac{-117}{125}\)
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36/11 x 22/17 x 51/72
= 36 x 22 x 51/11 x 17 x 72
= 36 x 2 x 11 x 17 x 3/11 x 17 x 36 x 2
= 3
22/16 x 64/55 x 27/13
= 22 x 64 x 27/16 x 55 x 13
=2 x 11 x 16 x 4 x 27/16 x 5 x 11 x 13
= 216/65
36 x 48/12 x 24 + 18 x 104/36 x 4
= 12 x 3 x 2 x 24/12 x 24 + 18 x 13 x 2 x 4/ 18 x 2 x 4
= 6 + 13
= 19
=
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BÀI 1
a, \(5\times\frac{-7}{10}=\frac{-35}{10}=\frac{-7}{2}\)
b, \(\frac{4}{5}\times\frac{-7}{10}=\frac{-28}{50}=\frac{-14}{25}\)
c, \(\frac{4}{9}+\frac{4}{3}\times\frac{16}{4}=\frac{4}{9}+\frac{16}{3}=\frac{52}{9}\)
d, \(\frac{11}{22}-\frac{3}{9}\times\frac{14}{21}=\frac{11}{22}-\frac{2}{9}=\frac{55}{198}=\frac{5}{18}\)
BÀI 2
\(A=\frac{6}{13}\times\frac{5}{7}+\frac{6}{13}\times\frac{2}{7}+\frac{17}{13}\)
\(A=\frac{30}{91}+\frac{12}{91}+\frac{17}{13}\)
\(A=\frac{30}{91}+\frac{12}{91}+\frac{119}{91}\)
\(A=\frac{161}{91}=\frac{23}{13}\)
\(B=\frac{11}{15}\times\frac{4}{11}+\frac{11}{15}\times\frac{5}{11}+\frac{11}{15}\times\frac{2}{11}\)
\(B=\frac{4}{15}+\frac{1}{3}+\frac{2}{15}\)
\(B=\frac{11}{15}\)
\(C=\left(\frac{19}{64}-\frac{33}{22}+\frac{24}{51}\right)\times\left(\frac{1}{5}-\frac{1}{15}-\frac{2}{15}\right)\)
\(C=\frac{-797}{1088}\times0\)
\(C=0\)
\(D=\frac{8}{13}\times\frac{7}{12}+\frac{8}{13}\times\frac{5}{12}-\frac{1}{12}\)
\(D=\frac{14}{39}+\frac{10}{39}-\frac{1}{12}\)
\(D=\frac{83}{156}\)
bạn biết câu náy không (24 + 11) . {546 - [14 . (64 - 2^{3}3) : 2]} =
![](https://rs.olm.vn/images/avt/0.png?1311)
a) 325 x 6 + 6 x 560 + 115 x 6
= 6 x ( 325 + 560 + 115)
= 6 x 1000
= 6000
b) 133 : 7 + 154 : 7 + 413 :7
= ( 133 + 154 + 413 ) : 7
= 700 : 7
= 100
c) 64 x 25 + 35 x25 + 25
= 25 x ( 64 + 35 + 1 )
= 25 x 100
= 2500
d) Quá dễ
a) 325 x 6 + 6 x 560 + 115 x 6
= 6 x ( 325 + 560 + 115 )
= 6 x 1000
= 6000
b) 133 : 7+ 154 : 7 + 413 : 7
= ( 133 + 154 + 413 ) : 7
= 700 : 7
= 100
c)64 x 25 + 35 x 25 + 25
= 25 x ( 64 + 35 + 1 )
= 25 x 100
= 2.500
d) 22 x 47 + 2 x 38 x 11 + 15 x 22
= 22 x ( 47 + 15 + 38 )
= 22 x 100
= 2200
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`@` `\text{Ans}`
`\downarrow`
`2^(2x-4)=64`
`=>2^(2x-4)=2^6`
`=>2x-4=6`
`=>2x=10`
`=>x=10 \div 2`
`=> x=5`
Vậy, `x = 5.`
64 + 22 - x = 11
86 - x = 11
x = 86 -11
x = 75.
64+22-x=11
86-x=11
x=86-11
x=75
k mình nhé bn