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\(6^3:3^3=\left(6:3\right)^3=2^3=8\)
\(\left(6:3\right)^3=2^3=8\)
=> \(6^3:3^3=\left(6:3\right)^3=2^3\)
\(102:5^2ko=\left(10:5\right)^2\)
a)tính dễ
b)chứng minh nó = quy nạp thôi
n=1 và n=k; n=k+1;... trong trang cá nhân mk lm r` đó bn chịu khó tìm lại
1/ a/ cách 1: 36 : 34 = 729 : 81 = 9
cách 2: 36 : 34 = 36-4 = 32 = 9
b/ cách 1: 57 : 55 = 78125 : 3125 = 25
cách 2: 57 : 55 = 57-5 = 52 = 25
2/ 356 = 3 . 100 + 5 . 10 + 6 = 3 . 102 + 5 . 10 + 6
3243 = 3 . 1000 + 2 . 100 + 4 . 10 + 3 = 3 . 103 + 2 . 102 + 4 . 10 + 3
abbc = a . 1000 + b . 100 + b . 10 + c = a . 103 + b . 102 + b . 10 + c
3/ a/ 12 . 52 = 12 . 25 = 300.
b/ 704 : 82 = 704 : 64 = 11
c/ 22 . 72 = (2 . 7)2 = 142 = 196
d/ (96 : 24)3 = 43 = 64.
4/ a/ 63 : 33 = 216 : 27 = 8
(6 : 3)3 = 23 = 8
Vậy 63 : 33 = (6 : 3)3
b/ 102 : 52 = 100 : 25 = 4
(10 : 5)2 = 22 = 4
Vậy 102 : 52 = (10 : 5)2
1. a) C1: 36 : 34 = 729 : 81 = 9
C2; 36: 34 = 36-4= 32=9
b)c1: 57: 55= 78125 : 3125 = 25
c2: 57: 55 = 57-5 = 52 = 25
3. a) 12 . 5 2= 12 . 25 =300 b) 704 : 82 = 704 : 64 = 11
c) 22.72= 4. 49 = 196 b) ( 96 : 24) 3= 43= 64
4
a) 63 : 33 = 216 : 27 = 8
(6 : 3)3= 23 = 8 -> 63 : 33 = (6 : 3)3
b) 102 : 52 = 102 : 25 = 4,08
( 10 : 5)2= 24= 16
a) \(6^3:3^3=216:27=8\)
\(\left(6:3\right)^3=2^3=8\)
Vậy \(6^3:3^3=\left(6:3\right)^3\)
b) \(10^2:5^2=100:25=4\)
\(\left(10:5\right)^2=2^2=4\)
Vậy \(10^2:25^2=\left(10:5\right)^2\)
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) $10^6:10=10^{6-1}=10^5$
$5^8:25^2=5^8:(5^2)^2=5^8:5^4=5^{8-4}=5^4$
$4^9:64^2=4^9:(4^3)^2=4^9:4^6=4^{9-6}=4^3$
$2^25:32^4=2^{25}:(2^5)^4=2^{25}:2^{20}=2^{25-20}=2^5$
$18^3:9^3=(18:9)^3=2^3$
\(\cdot3^8:3^6=3^{8-6}=3^2\)
\(\cdot19^7:19^3=19^{7-3}=19^4\)
\(\cdot2^{10}:8^3=2^{10}:\left(2^3\right)^3=2^{10}:2^9=2\)
\(\cdot12^7:6^7=\left(12:6\right)^7=2^7\)
\(\cdot27^5:81^3=\left(3^3\right)^5:\left(3^4\right)^3=3^{15}:3^{12}=3^3\)
\(\cdot10^6:10=10^{6-1}=10^5\)
\(\cdot5^8:25^2=5^8:\left(5^2\right)^2=5^8:5^4=5^4\)
\(\cdot4^9:64^2=4^9:\left(4^3\right)^2=4^9:4^6=4^3\)
\(2^{25}:32^4=2^{25}:\left(2^5\right)^4=2^{25}:2^{20}=2^5\)
\(18^3:9^3=\left(18:9\right)^3=2^3\)
\(6^3:3^3=\left(6:3\right)^3\)\(\Rightarrow6^3:3^3=\left(6:3\right)^3\)