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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
\(a;5\times125\times625=5\times5^3\times5^4=5^8\)
\(b;10\times100\times1000=10\times10^2\times10^3=10^6\)
\(d;8^4\times16^5\times32=2^{12}\times2^{20}\times2^5=2^{37}\)
\(5^{40}\times81^{10}=5^{40}\times3^{40}=15^{40}\)
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)\(2.2.2.3.3=2^3.3^2\)
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) (1/4)3 x (1/8)2
= [(1/2)2]3 x [(1/2)3]2
= (1/2)6 x (1/2)6
= (1/2)12
b) 42 x 32: 23
= (22)2 x 25: 23
= 24 x 25: 23
= 24 x 22
= 26
c) 25 x 53 x 1/625 x 53
= 52x 53 x (1/5)4 x 53
= (1/5)4 x 58
= 1/54 x 58 (giải thích nếu ko hiểu: (1/5)4= 14/54= 1/54)
= 58/54
= 54
d) 56 x 1/20 x 22 x 32 : 125
= 56/20 x (2x3)2 : 53
= 56/ (5x4) x 62: 53
= 55/4 x 62/53 (62/53 là dạng phân số, bản chất vẫn là lấy 62 chia 53)
= 55 x 62/ 4x 53 (nhân phân số: tử nhân tử, mẫu nhân mẫu)
= 52x 62/ 22 (chia 55 cho 53 ra 52)
= 302/ 22
= 152
*Kiến thức áp dụng:
amx an = am+n
am: an= am-n
(am)n = am x n
am x bm = (a x b)m
a. =(54:5):(52.5)
=55:53
=52
b.= (34.33.32):(35.3)
=39:36
=33
d. = 8.125.8.25.8.5.25.2.5
= 23.53.23.52.23.5.52.2.5
=210.59
đúng nha
a; ( 625 : 5) : ( 125 . 5)
= ( 5^4 : 5) : ( 5^3 . 5)
= 5^3 : 5^4
= 1/5
b; (8 1 . 27 . 9 ) : ( 243 . 3)
= ( 3^4 . 3^3 . 3^2) : ( 3^4 . 3)
= 3^9 : 3^ 5
=3^4
c, 1000 x 200 x 40 x 25
= 1000 x ( 40x 250) x 200
= 1000 x 10000 x 200
= 2000000000
a) 5 . 125 . 625=5.5.5.5.5.5.5.5=58 ; b) 10 . 100 . 1000000=10.10.10.10.10.10.10.10-.10=109
c) 84 . 165 . 32 =(23)4.(24)5=212.220=232 ; d) 274 . 8110=(33)4.(34)10=312.340=352
a) 5. 125 . 625
= 58
b) 10 . 100 . 1000
=106
c)84 . 165 . 32
= 212. 47
d)274 . 8110
= 321