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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.
a, \(A=\dfrac{3^{10}.11+3^{10}.5}{3^9.2^4}=\dfrac{3^{10}.\left(11+5\right)}{3^9.2^4}\)
\(=\dfrac{3^{10}.2^4}{3^9.2^4}=3\)
b, \(B=\dfrac{2^{10}.13+2^{10}.65}{2^8.104}=\dfrac{2^{10}.78}{2^8.104}\)
\(=\dfrac{2^2.3}{4}=3\)
c, \(C=\dfrac{4^9.36+64^4}{16^4.100}=\dfrac{\left(2^2\right)^9.36+\left(2^6\right)^4}{\left(2^4\right)^4.100}\)
\(=\dfrac{2^{18}.36+2^{24}}{2^{16}.100}=\dfrac{2^{18}.\left(36+2^6\right)}{2^{16}.100}\)
\(=\dfrac{2^4.100}{100}=2^4=16\)
Câu d làm tương tự! Chúc bạn học tốt!!!
a) 35 - 102 : 52 + 23 . 7
= 3^5 - 2^2 +2^3 .7
= 2^2.(3^5 + 2.7)
=4.(243 +14)
= 4.257=1028
b) 24 - 5 . 23 - 2 . 33
= 2^3 (2-5)-2. 27
=8. (-3) - 54
= -24 -54
=-78
c) 36 . 57 - 36 . 47 + 63 . 62 - 63 . 52
=36 (57-47) + 63 (62-62)
=36.10+63.10
=10.(36+63)
=10.99
=990
d) 24 . 5 - { 140 - [ 868 - 12 ( 3087 : 72 + 40 ) ] }
=16 . 5 - { 140 - [ 868 - 12 ( 3087 : 49 + 1) ] }
=80 - { 140 - [ 868 - 12 ( 63+ 1) ] }
=80 - { 140 - [ 868 - 12.64 ] }
=80 - { 140 - [ 868 - 768 ] }
=80 - { 140 - 100}
=80 - 40 =40
e) 723 . 542
____________
108
(23. 32 ) 3 .(2.33)2
___________________
22.33
bạn xem có đúng ko nha
29. 36 . 22.36
___________________
22.33
211. 312
___________
22.33
= 28. 39
=256.19683
=5038848
f) 310 . 11 + 310 . 5
__________________
39 . 24
310 . (11 + 5)
__________________
39 . 24
310 . 16
_______
39 . 24
310 . 24
_______
39 . 24
=3