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1. a) 2012.24 + 77.2012 - 2012
= 2012. ( 24 + 77 - 1)
= 2012.100
= 201200.
b) 3^3.76 + 84.27 + 3^2.3.40
= 27. ( 76 + 84 + 40)
= 27. 200
= 5400.
c) 2^83 + 2^84 + 2^85 / 2^82 + 2^81 + 2^80
= 2^83.(1 + 2 + 2^2) / 2^80. (2^2 + 2 + 1)
= 2^83 / 2^80
= 2^3
= 8.
2. (Bài này mình biết làm câu a và câu d thôi, 2 câu kia mình ko hiểu lắm)
a) 5^2x+1=125
5^2x+1=5^3
=> 2x+1 = 3
2x = 3 - 1
2x = 2
x = 1.
d) (2x + 3)^4 = 81
(2x + 3)^4 = 3^4
=> 2x + 3 = 3
2x = 3 - 3
2x = 0
x = 0.
Bài 1:
a,(2x-15):13+51=64
=> (2x-15):13=64-51
=> (2x-15):13=13
=>(2x-15)=1
=> 2x =16
=> x = 8
Vậy: x= 8
Tính nhanh
a) 2012 . 24 + 77 .2012 - 2012
= 2012.(24 + 77 - 1)
= 2012.100
= 201200
b) 33 .76 + 84 .27 + 32 . 3 . 40
= 33 .76 + 84 . 33 + 33 .40
= 33.(76 + 84 + 40)
= 27. 200
= 5400
c) \(\frac{2^{83}+2^{84}+2^{85}}{2^{82}+2^{81}+2^{80}}\)
\(=\frac{2^{83}.\left(1+2+2^2\right)}{2^{80}.\left(1+2+2^2\right)}\)
\(=\frac{2^{83}}{2^{80}}\)
\(=2^3\)
\(=8\)
\(a.\)\(2012.24+77.2012-2012\)
\(=2012.24+77.2012-2012.1\)
\(=2012.\left(24+77-1\right)\)
\(=2012.100\)
\(=201200\)
\(b.\)\(3^3.76+84.27+3^2.3.40\)
\(=27.76+84.27+27.40\)
\(=27.\left(76+84+40\right)\)
\(=27.200\)
\(=5400\)
\(c.\)Là phân số hả bn???
\(\frac{2^{83}+2^{84}+2^{85}}{2^{82}+2^{81}+2^{80}}=\frac{2^{83}.\left(1+2+2^2\right)}{2^{80}.\left(2^2+2+1\right)}\)
\(=\frac{2^{83}}{2^{80}}=2^3=8\)
~ Rất vui vì giúp đc bn ~
a, A = \(\dfrac{3^9\times3^{20}\times2^8}{3^{24}\times243\times2^6}\)
A = \(\dfrac{3^{29}\times2^8}{3^{24}\times3^5\times2^6}\)
A = \(\dfrac{3^{39}\times3^{20}\times2^8}{3^{29}\times2^6}\)
A = 22
A = 4
b, \(\dfrac{2^{15}\times5^3\times2^6\times3^4}{8\times2^{18}\times81\times5}\)
B = \(\dfrac{2^{21}\times3^4\times5^3}{2^3\times2^{18}\times3^4\times5}\)
B = \(\dfrac{2^{21}\times3^4\times5^3}{2^{21}\times3^4\times5}\)
B = 52
B = 25
a, 4.25-3.(24-9)=100-3.(24-9)=77.15=1155
b,7+6.(1\4)=13.1\4=13\4
c,32.7+32=224+32=256
câu 2
(x-15):5+22=24
(x-15):5=24-22
(x-15):5=2
(x-15)=5.2
(x-15)=10
x=10+15
x=25
|x+7|=15-(-4)
|x+7|=19
x=19-7
x=12
(x-1\2):1\3+5\7=68\7
(x-1\2):1\3=68\7-5\7
(x-1\2):1\3=9
(x-1\2)=9.1\3
(x-1\2)=3
x=3+1\2
x=7\2
\(\left(5^2+3^2\right).x+\left(5^2-3^2\right).x-40.x=10^2\)
\(\Rightarrow\left(25+9\right)x+\left(25-9\right)x-40x=100\)
\(\Rightarrow34x+16x-40x=100\Rightarrow\left(34+16-40\right)x=100\)
\(\Rightarrow10x=100\Rightarrow x=100\div10=10\)
Vậy \(x=10\)
a, 2012 x 24 + 77 x 2012 - 2012
= 2012 x (24 + 77 - 1)
= 2012 x 100
= 201 200
b, 33 x 76 + 84 x 27 + 32 x 3 x 40
= 27 x 76 + 84 x 27 + 27 x 40
= 27 x (76 + 84 + 40)
= 27 x 200
= 5400