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a)
\(2^3=8\\ 2^4=16\\ 2^5=32\\2^6=64\\ 2^7=128\\ 2^8=256\\ 2^9=512\\ 2^{10}=1024 \)
b)
\(3^2=9\\3^3=27\\ 3^4=81\\ 3^5=243\)
c)
\(4^2=16\\ 4^3=64\\ 4^4=256\)
d)
\(5^2=25\\ 5^3=125\\ 5^4=625\)
e)
\(6^2=36\\ 6^3=216\\ 6^4=1296\)
38 = 32 . 32 . 32 . 32
= 9 . 9 . 9 . 9
= 92 . 92
= 81 . 81
= 812
= 6561
24 = 2 . 2 . 2 . 2
= 22 . 22
= 4 . 4
= 42
= 16
\(3^2=3\cdot3=9\)
\(4^{10}=4.4.4.4.4.4.4.4.4.4=1048576\)
\(7^4=7\cdot7\cdot7\cdot7=2401\)
\(8^2=8\cdot8=64\)
Tính giá trị các lũy thừa sau :
a) 25 = 2.2.2.2.2 = 32
b) 34 = 3.3.3.3 = 81
c) 43 = 4.4.4 = 64
d) 54 = 5.5.5.5 = 625
34: 32= 34- 2= 32= 9.
33. 34= 33+ 4= 37= 2187.
52. 55= 52+ 5= 57= 78125.
1914: 197= 1914- 7= 197= 893871739.
\(a,\) \(\left(3^2\right)^3\) = \(3^{2.3}\) = \(3^6\)
\(\left(3^3\right)^2\) = \(3^{3.2}=3^6\)
\(\left(3^2\right)^5\) = \(3^{2.5}=3^{10}\)
\(9^8=\left(3^2\right)^8=3^{2.8}=3^{16}\)
b, \(\left(5^3\right)^2=5^{3.2}=5^6\)
\(\left(5^4\right)^3=5^{4.3}=5^{12}\)
\(\left(5^2\right)^4\) = \(5^{2.4}=5^8\)
\(25^5=\left(5^2\right)^5=5^{2.5}=5^{10}\)
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
1) 55 - 54 + 53 = 53 . 52 - 53 . 5 - 53
= 53 . ( 52 - 5 + 1 )
= 53 . ( 25 - 5 - 1 )
= 53 . 21
= 53 . 3 . 7 chia hết cho 7
Vậy chứng minh 55 - 54 + 53 chia hết cho7
2) 76 + 75 - 74 = 74 . 72 + 74 . 7 - 74
= 74 . ( 72 + 7 - 1 )
= 74 . ( 49 + 7 - 1 )
= 74 . 55
= 74 . 5 .11 chia hết cho 11
Vậy chứng minh 76 + 75 - 74 chia hết cho 11
Tích mình nha !!!!!!!!!!!!!!!!!
\(3^5=3.3.3.3.3\)
\(6^2=6.6\)
\(5^4=5.5.5.5\)
\(2^2=2.2\)
\(7^3=7.7.7\)
cho mik đi
\(4^8.2^{20}.9^{12}.27^5.81^4.25^{20}.125^4\)
\(=\left(2^2\right)^8.2^{20}.\left(3^2\right)^{12}.\left(3^3\right)^5.\left(3^4\right)^4.\left(5^2\right)^{20}.\left(5^3\right)^4\)
\(=2^{16}.2^{20}.3^{15}.3^{16}.5^{40}.5^{12}\)
\(=2^{16+20}.3^{15+16}.5^{40+12}\)
\(=2^{36}.3^{31}.5^{52}\)
52 = 5.5 = 25;
53 = 52.5 = 25.5 = 125;
54 = 53.5 = = 125.5 = 625.