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b) 3^2 . [(5^2 - 3 ) : 11 ] - 2^4 + 2.10^3
= 9 . [(25 - 3 ) : 11 ] - 16 + 2.1000
= 9 . [22 : 11 ] - 16 + 2000
= 9 . 2 - 16 + 2000
= 18 - 16 + 2000
= 2 + 2000
= 2002
(72005 + 72004) : 72004
= 72005 : 72004 + 72004 : 72004
= 72005 - 2004 + 1
= 71 + 1
= 7 + 1
= 8
a) ( 3^5 . 3^7 ) : 3^10 + 5.2^4 - 7^3 : 7
= 3^10 : 3^10 + 80 - 7^2
= 1 + 80 - 49
= 32
Bài 1:
a) 23=2.2.2=823=2.2.2=8;
24=23.2=8.2=1624=23.2=8.2=16;
25=24.2=16.2=3225=24.2=16.2=32;
26=25.2=32.2=6426=25.2=32.2=64;
27=26.2=64.2=12827=26.2=64.2=128;
28=27.2=128.2=25628=27.2=128.2=256;
29=28.2=256.2=51229=28.2=256.2=512;
210=29.2=512.2=1024210=29.2=512.2=1024
b) 32=3.3=932=3.3=9;
33=32.3=9.3=2733=32.3=9.3=27;
34=33.3=27.3=8134=33.3=27.3=81;
35=34.3=81.3=24335=34.3=81.3=243.
c) 42=4.4=1642=4.4=16;
43=42.4=16.4=6443=42.4=16.4=64;
44=43.4=64.4=25644=43.4=64.4=256.
d) 52=5.5=2552=5.5=25;
53=52.5=25.5=12553=52.5=25.5=125;
54=53.5=125.5=62554=53.5=125.5=625.
e) 62=6.6=3662=6.6=36;
63=62.6=36.6=21663=62.6=36.6=216;
64=63.6=216.6=129664=63.6=216.6=1296.
\(8^4.16^5=2^{12}.2^{20}=2^{32}\)
\(5^{40}.125^5.25^3=5^{40}.5^{15}.5^6=5^{61}\)
\(27^4.81^{10}=3^{12}.3^{40}=3^{52}\)
\(10^3.100^5.1000^4=10^3.10^{10}.10^{12}=10^{25}\)
\(8^4\cdot16^5=\left(2^3\right)^4\cdot\left(2^4\right)^5=2^{12}\cdot2^{20}=2^{32}\)
\(5^{40}\cdot125^2\cdot25^3=5^{40}\cdot\left(5^3\right)^2\cdot\left(5^2\right)^3=5^{40}\cdot5^6\cdot5^6=5^{52}\)
\(27^4\cdot81^{10}=\left(3^3\right)^4\cdot\left(3^4\right)^{10}=3^{12}\cdot3^{40}=3^{52}\)
\(10^3\cdot100^5\cdot1000^4=10^3\cdot\left(10^2\right)^5\cdot\left(10^3\right)^4=10^3\cdot10^{10}\cdot10^{12}=10^{25}\)
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