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1) 279 : 81 = (33)9 : 34 = 327 : 34 = 323
2) a) = 170.3 + 154 : 14 = 510 + 11 = 521
b) = 136.(25 + 75) - 72 = 13600 - 49 = 13 551
c) = (2.5)3 - [(7.2)3 - 25.(64: 8 + 121 : 121 - 2.2)] = 1000 - [2744 - 25.(8 + 1 - 4)] = 1000 - 2619 = 1619
a) $3^8:3^6=3^{8-6}=3^2$
$19^7:19^3=19^{7-3}=19^4$
$2^{10}:8^3=2^{10}:(2^3)^3=2^{10}:2^9=2^{10-9}=2^1$
$12^7:6^7=(12:6)^7=2^7$
$27^5:81^3=(3^3)^5:(3^4)^3=3^{15}:3^{12}=3^{15-12}=3^3$
b) $10^6:10=10^{6-1}=10^5$
$5^8:25^2=5^8:(5^2)^2=5^8:5^4=5^{8-4}=5^4$
$4^9:64^2=4^9:(4^3)^2=4^9:4^6=4^{9-6}=4^3$
$2^25:32^4=2^{25}:(2^5)^4=2^{25}:2^{20}=2^{25-20}=2^5$
$18^3:9^3=(18:9)^3=2^3$
\(\cdot3^8:3^6=3^{8-6}=3^2\)
\(\cdot19^7:19^3=19^{7-3}=19^4\)
\(\cdot2^{10}:8^3=2^{10}:\left(2^3\right)^3=2^{10}:2^9=2\)
\(\cdot12^7:6^7=\left(12:6\right)^7=2^7\)
\(\cdot27^5:81^3=\left(3^3\right)^5:\left(3^4\right)^3=3^{15}:3^{12}=3^3\)
\(\cdot10^6:10=10^{6-1}=10^5\)
\(\cdot5^8:25^2=5^8:\left(5^2\right)^2=5^8:5^4=5^4\)
\(\cdot4^9:64^2=4^9:\left(4^3\right)^2=4^9:4^6=4^3\)
\(2^{25}:32^4=2^{25}:\left(2^5\right)^4=2^{25}:2^{20}=2^5\)
\(18^3:9^3=\left(18:9\right)^3=2^3\)
a) 37:35= 32
b)46 :46= 40
C) a4 : a= a3
d) 98:32 =314
e) 85:23 = 212
f) 37:27 = 34
\(a,3^7:3^5=3^2\)
\(b,4^6:4^6=4^0\)
\(c,a^4:a=a^3\)
\(d,9^8:3^2=9^4\)
\(e,8^5:2^3=8^{-7}\)
\(f,3^7:27=3^4\)
Bài 1 :
a/ \(a^3.a^9=a^{3+9}=a^{12}\)
b/\(\left(a^5\right)^7=a^{5.7}=a^{35}\)
c/ \(\left(a^6\right).4.a^{12}=a^{24}.a^{12}.4=a^{24+12}.4=a^{36}.4\)
d/ \(\left(2^3\right)^5.\left(2^3\right)^3=2^{15}.2^9=2^{15+9}=2^{24}\)
e/ \(5^6:5^3+3^3.3^2\)
\(=5^3+3^5=125+243=368\)
i/ \(4.5^2-2.3^2\)
\(=2^2.5^2-2.3^2\)
\(=2^2.25-2^2.14\)
\(=2^2.\left(25-14\right)\)
\(=2^2.11\)
\(=4.11=44\)
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) 23 = 8, 24 = 16, 25 = 32, 26 = 64, 27= 128,28 = 256, 29 = 512, 210 = 1024.
b) 32 = 9, 33 = 27, 34 = 81, 35 = 243.
c) 42 = 16, 43 = 64, 44 = 256.
d) 52 = 25, 53 = 125, 54 = 625.
e) 62 = 36, 63 = 216, 64 = 1296.
a) 27^16 : 9^10
Ta có: (3.9)^16 : 9^10
= 3^16.9^16: 9^10
= 3^16. 9^6
= 3^16.(3^2)^6
=3^16.3^12
=3^28
1) 56 63 . 3 . 2
23 . 32. 100.103
2) lay may tinh bam nha ban.
:-) k nha
1)
a) 5 . 5 . 5 . 5 . 5 . 5 = 56
b) 6 . 6 . 6 . 3 . 2 = 6 . 6 . 6 . 6 = 64
c) 2 . 2 . 2 . 3 . 3 = 23 . 32
d) 100 . 10 . 10 . 10 = 10 . 10 . 10 . 10 . 10 = 105
2)
a) 23 = 2 . 2 . 2 = 8
24 = 2 . 2 . 2 . 2 = 16
25 = 2 . 2 . 2 . 2 . 2 = 32
26 = 2 . 2 . 2 . 2 . 2 . 2 = 64
27 = 2 . 2 . 2 . 2 . 2 . 2 . 2 = 128
28 = 2 . 2 . 2 . 2 . 2 . 2 . 2 . 2 = 256
29 = 2 . 2 . 2 . 2 . 2 . 2 . 2 . 2 . 2 = 512
210 = 2 . 2 . 2 . 2 . 2. . 2 . 2 . 2 . 2 . 2 = 1024
b) 32 = 3 . 3 = 9
33 = 3 . 3 . 3. = 27
34 = 3 . 3 . 3 . 3 = 81
35 = 3 . 3 . 3 . 3 . 3 = 243
c) 42 = 4 . 4 = 16
43 = 4 . 4 . 4 = 64
44 = 4 . 4 . 4 . 4 = 256
d) 52 = 5 . 5 = 25
53 = 5 . 5 . 5 = 125
54 = 5 . 5 . 5 . 5 = 625
e) 62 = 6 . 6 = 36
63 = 6 . 6 . 6 = 216
64 = 6 . 6 . 6 . 6 = 1296
\(A=2^2\cdot5^2-3^3-9\\ =4\cdot25-27-9\\ =100-36\\ =64\\ =4^3\)
\(B=2^3\cdot4^2+3^2\cdot3^2-40\\ =8\cdot16+81-40\\ =128+81-40\\ =209-40\\ =169\\ =13^2\)
\(C=11\cdot2^4+6^2\cdot19+40\\ =11\cdot16+36\cdot19+40\\ =176+684+40\\ =860+40\\ =900\\=30^2 \)
\(D=4^3+6^3+7^3+2\\ =64+216+343+2\\ =280+345\\ =625\\ =25^2\)
`A=2^2*5^2-3^3-9`
`A=4*25-27-9`
`A=100-36`
`A=64`
`A=8^2`
`B=2^3*4^2+3^2*3^2-40`
`B=8*16+3^4-40`
`B=128+81-40`
`B=88+81`
`B=169`'
`B=13^2`
`C=11*2^4+6^2*19+40`
`C=11*16+36*19+40`
`C=176+684+40`
`C=176+724`
`C=900`
`C=30^2`
`D=4^3+6^3+7^3+2`
`D=64+216+343+2`
`D=280+345`
`D=625`
`D=25^2`