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a,62010:610.63
=62000.63
=62003
b,(38.316):(37.314)
=324:321
=33
c,(226:210):(218:216)
=216:22
=214
d,253:125
=(52)3:(53)
=56:53
=53
k mik nha
1.
a) \(3^4\times3^5\times3^6=3^{4+5+6}=3^{15}\)
b) \(5^2\times5^4\times5^5\times25=5^2\times5^4\times5^5\times5^2=5^{2+4+5+2}=5^{13}\)
c) \(10^8\div10^3=10^{8-3}=10^5\)
d) \(a^7\div a^2=a^{7-2}=a^5\)
2.
\(987=900+80+7\\ =9\times100+8\times10+7\\ =9\times10^2+8\times10^1+7\times10^0\)
\(2021=2000+20+1\\ =2\times1000+2\times10+1\times1\\ =2\times10^3+2\times10^1+1\times10^0\)
\(abcde=a\times10000+b\times1000+c\times100+d\times10+e\times1\\ =a\times10^4+b\times10^3+c\times10^2+d\times10^1+e\times10^0\)
2^(10 : 64 x 16) = 2^[(10 x 16) : 64] = 2^(160 : 64) = 2^25
2^(10 x 8) = 2^80 3^(5 : 27) = 3^(5/27) 5^(2 x 125) = 5^250 6^(6 : 36) = 6^(1/6)
a, \(7^{2010}:7=7^{2009}\)
b, \(4^{20}:4^0=4^{20}\)
c, \(\frac{3^8.3^{15}}{3^7.3^{14}}=\frac{3^{23}}{3^{21}}=3^2\)
d, \(\frac{4^{16}.4^2}{4^{20}:4^2}=\frac{4^{18}}{4^{18}}=4^0\)
e, \(\frac{2^{15}:2^{10}}{2^{18}:2^{15}}=\frac{2^5}{2^3}=2^2\)
f, \(25^4:125=\left(5^2\right)^4:5^3=5^8:5^3=5^5\)
a/ (26.16) :42
=(26.22) :(22)2
=28 : 24=24=16
b/ (510:625) : 25
= (510:54) :52
=56 : 52=53=625
c/ (81.243):3
= (34.35) :3
= 39 :3=38 =6561
\(16^2:4^2\)
\(=\left(4^2\right)^2:4^2\)
\(=4^4:4^2\)
\(=4^{4-2}\)
\(=4^2\)
==========
\(25^5:5^2\)
\(=\left(5^2\right)^5:5^2\)
\(=5^{10}:5^2\)
\(=5^{10-2}\)
\(=5^8\)
============
\(9^8:3^2\)
\(=\left(3^2\right)^8:3^2\)
\(=3^{16}:3^2\)
\(=3^{16-2}\)
\(=3^{14}\)
===========
\(a^6:a\)
\(=a^{6-1}\)
\(=a^5\)
a) 6 2010 : 6 10 = 6 2000
b) ( 3 8 . 3 16 ) : ( 3 7 . 3 14 ) = 3 24 : 3 21 = 3 3
c) ( 2 26 : 2 10 ) : ( 2 18 : 2 16 ) = 2 16 : 2 2 = 2 14
d) 25 3 : 125 = ( 25 . 25 . 25 ) : 5 3 = 5 6 : 5 3 = 5 3