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a, \(8^4.16^5\)
b, \(5^{40}.125^2.25^3\)
c,\(27^4.81^{10}\)
d, \(10^3.100^5.1000^4\)
Bạn ơi mình hỏi là viết các tích của số đó chứ ko phải là ghi ra như vậy
a) \(8^4.16^5\)
\(=\left(2^3\right)^4.\left(2^4\right)^5\\ =2^{3.4}.2^{4.5}\\ =2^{12}.2^{20}\\ =2^{12+20}\\ =2^{32}\)
b) \(5^{40}.125^2.625^3\)
\(=5^{40}.\left(5^3\right)^2.\left(5^4\right)^3\)
\(=5^{40}.5^{3.2}.5^{4.3}\)
\(=5^{40}.5^6.5^{12}\)
\(=5^{40+6+12}\)
\(=5^{58}\)
c) \(27^4.81^{10}\)
\(=\left(3^3\right)^4.\left(3^4\right)^{10}\)
\(=3^{3.4}.3^{4.10}\)
\(=3^{12}.3^{40}\)
\(=3^{52}\)
d) \(10^3.100^5.1000^4\)
\(=10^3.\left(10^2\right)^5.\left(10^3\right)^4\)
\(=10^3.10^{2.5}.10^{3.4}\)
\(=10^3.10^{10}.10^{12}\)
\(=10^{3+10+12}\)
\(=10^{25}\)
A
\(5^1.5^3.5^4\)=\(5^{1+3+4}=5^8\)
B
\(10^1.10^2.10^3=10^{1+2+3}=10^6\)
C
\(8^4.16^5.32^1\)
d
\(27^4.81^{10}\)
a. = 5 x 53 x 54 = 5(1+3+4) = 58
b. = 10 x 102 x 103 = 10(1+2+3) = 106
Làm đc từng này thôi nha
Xl bạn
\(a;5\times125\times625=5\times5^3\times5^4=5^8\)
\(b;10\times100\times1000=10\times10^2\times10^3=10^6\)
\(d;8^4\times16^5\times32=2^{12}\times2^{20}\times2^5=2^{37}\)
\(5^{40}\times81^{10}=5^{40}\times3^{40}=15^{40}\)
1) a) 4⁸.2²⁰ = (2²)⁸.2²⁰
= 2¹⁶.2²⁰ = 2³⁶
-----------
9¹².27⁵.81³ = (3²)¹².(3³)⁵.(3⁴)⁴
= 3²⁴.3¹⁵.3¹⁶ = 3⁵⁵
--------
64³.4⁵.16² = (4³)³.4⁵.(4²)²
= 4⁹.4⁵.4⁴ = 4¹⁸
b) 25²⁰.125⁴ = (5²)²⁰.(5³)⁴
= 5⁴⁰.5¹² = 5⁵²
--------
x⁷.x³.x⁴ = x¹⁴
--------
3⁶.4⁶ = (3.4)⁶ = 12⁶
2) a) 2² = 4
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
a)\(2.2.2.3.3=2^3.3^2\)
b)\(8.8.8.2=2^3.2^3.2^3.2=2^{10}\)
c)\(8^4.16^5=\left(2^3\right)^4.\left(2^4\right)^5=2^{12}.2^{20}=2^{32}\)
d)\(5^{40}.125^2.625^3=5^{40}.\left(5^3\right)^2.\left(5^4\right)^3=5^{40}.5^6.5^{12}=5^{58}\)
e)\(27^4.81^{10}=\left(3^3\right)^4.\left(3^4\right)^{10}=3^{12}.3^{40}=3^{52}\)
f)\(10^3.100^5.1000^4=10^3.\left(10^2\right)^5.\left(10^3\right)^4=10^3.10^{10}.10^{12}=10^{25}\)
a. 84.165 = (23)4. (24)5 = 212. 220= 232
b. 540.1252.6253= 540. (53)2.(54)3= 540.56.512= 558
c. 274.8110= (33)4.(34)10= 312.340= 352
d. 103 . 1005 .10004= 103. (102)5.(103)4= 103.1010.1012= 1025
\(a,3^7.27^5.81^3\\ =3^7.\left(3^3\right)^5.\left(3^4\right)^3\\ =3^7.3^{15}.3^{12}\\ =3^{34}\\ b,100^6.1000^5.10000^4\\ =100^6.100^{10}.100^{12}\\ =100^{28}\\ c,125^4:5^8\\ =5^{12}:5^8\\ =5^4.\)
1: 8=2^3
2: 25=5^2
3: 4=2^2
4: 49=7^2
5: 81=9^2
6: 36=6^2
7: 100=10^2
8: 121=11^2
9: 144=12^2
10: 169=13^2
11: 27=3^3
12: 125=5^3
13: 1000=10^3
14: 32=2^5
15: 243=3^5
16: 343=7^3
17: 216=6^3
18: 64=4^3
19: 225=15^2
20: 128=2^7
84.165=232
540.1252.253=552
274.8110=352
103.1005.10004=1025
Chúc hk tốt!!!
+) \(8^4\times16^5=\left(2^3\right)^4\times\left(2^4\right)^5=2^{12}\times2^{20}=2^{12+20}=2^{32}\)
+) \(5^{40}\times125^2\times25^3=5^{40}\times\left(5^3\right)^2\times\left(5^2\right)^3=5^{40}\times5^6\times5^6=5^{40+6+6}=5^{52}\)
+) \(27^4\times81^{10}=\left(3^3\right)^4\times\left(3^4\right)^{10}=3^{12}\times3^{40}=3^{12+40}=3^{52}\)
+) \(10^3\times100^5\times1000^4=10^3\times\left(10^2\right)^5\times\left(10^3\right)^4=10^3\times10^{10}\times10^{12}=10^{3+10+12}=10^{25}\)
_Chúc bạn học tốt_