a)204-84:12
b)15.2(mũ3)+4.3(mũ 2)-5.7
c)5(mũ6):5(mũ3)+2(mũ3).2(mũ2)
d)164.53+47.164
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204-84:2=204-42=162
15.23+4.32-5.7=15.8+4.9-35=120+36-35=121
56:53+23.22=15625:125+8.4=125+32=157
164.53+47.164=164.(53+47)=164.100=16400
HỌC TỐT.
S = 1 + 2 + 22 + 23 + 24 + 25 + 26 + 27
= (1 + 2) + (22 + 23) + (24 + 25) + (26 + 27)
= (1 + 2) + 22(1 + 2) + 24(1 + 2) + 26(1 + 2)
= (1 + 2)(1 + 22 + 24 + 26)
= 3(1 + 22 + 24 + 26) \(⋮3\)(ĐPCM)
2S = 1 + 2 + 22 + 23 + 24 + 25 + 26 + 27
S = (1+2 ) + (22 + 23 ) + (24 + 25 ) + (26 +27)
S = 3 + 22(1+2) + 24(1+2) + 26(1+2)
S = 3+22.3 + 24.3 + 26 .3
S = 3(1+22 + 24 + 26 ) \(⋮\) 3
=> đpcm
a)
204 - 84:12 = 204 - 7 = 197
b)
15.23 + 4.32 - 5.7 = 15.8 + 4.9 – 5.7 = 120 + 36 - 35 = 121
c) Áp dụng:
am . an = am+n
am : an = am-n
56:53 + 23.22 = 53 + 25 = 125 + 32 = 157
d)
164.53 + 47.164 = 164(53 + 47) = 164.100 = 16400
a) 204 - 84 : 12
= 204 - 7 = 197
b) 15.23 + 4.32 - 5.7
= 15.8 + 4.9 - 35
= 120 + 36 - 35
= 156 - 35
= 121
c) 56 : 53 + 23.22
= 56 - 3 + 23 + 2
= 53 + 25
= 125 + 32
= 157
d) 164.53 + 47.164
= 164.( 53 + 47 )
= 164.100
= 16400
\(S=\left(-2\right)^0+\left(-2\right)^1+\left(-2\right)^2+\left(-2\right)^3...+2^{2014}+2^{2015}\)
\(2S=\left(-2\right)^1+\left(-2\right)^2+\left(-2\right)^3+\left(-2\right)^4+...+\left(-2\right)^{2015}+\left(-2\right)^{^{ }2016}\)
\(2S-S=\left[\left(-2\right)^1+\left(-2\right)^2+\left(-2\right)^3+\left(-2\right)^4+...+\left(-2\right)^{2015}+\left(-2\right)^{2016}\right]\)\(-\left[\left(-2\right)^0+\left(-2\right)^1+\left(-2\right)^2+\left(-2\right)^3+...+\left(-2\right)^{2014}+\left(-2\right)^{2015}\right]\)
\(S=\left(-2\right)^{2016}-\left(-2\right)^0=\left(-2\right)^{2016}-1\)
a) \(204-84:12=204-7=197\)
b) \(15.2^3+4.3^2-5.7=15.8+4.9+5.7=120+36+35=156+35=191\)
c) \(5^6:5^3+2^3.2^2=5^3+2^5=125+32=157\)
d) \(164.53+47.164=164.\left(53+47\right)=164.100=16400\)
_Chúc bạn học tốt_