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a) 7.7.7.7 = 74
b) 3.5.15.15 = 15.15.15 = 153
c) 2.2.5.5.2 = 23.52
d) 1000.10.10 = 10.10.10.10.10 = 105
e) a.a.a.b.b = a3.b2
d) m.m.m.m + p.p = m4.p2
a, \(7.7.7.7=7^4\)
b, \(3.5.15.15=3^2\) và \(5^2\)
c, \(2.2.5.5.2=2^3\)và \(5^2\)
d,\(1000.10.10=10^4\)
a 7.7.7.7 = \(7^4\)
b 3.5.15.15 = 15.15.15 = \(15^3\)
c 2.2.5.5.2 = \(2^3\cdot5^2\)
d 1000 . 10 . 10 = 10 . 10 . 10 . 10 . 10 =\(10^5\)
- 7^4
- 3.5.15.15=15.15.15=15^3
- 2^3.5^2
- 1000.10.10=10.10.10.10.10 =10^5
a) 7 . 7 . 7 . 7 = 7\(^4\)
b) 3 . 5 . 15. 15 = 15 . 15 . 15 = 15\(^3\)
c) 2 . 2 . 5 . 5 . 2 = 2\(^3\). 5\(^2\)
d) 1000 . 10 . 10 = 10 . 10 . 10 . 10 . 10 = 10\(^5\)
a) 7.7.7.77.7.7.7= \(7^4\)
b) 3.5.15.153.5.15.15= \(15^3\)
c) 2.2.5.5.22.2.5.5.2=\(2^3.5^2\)
d) 1000.10.10= \(10^5\)
Viết gọn các tích sau bằng cách dùng lũy thừa :
a) 7.7.7.7 = 747.7.7.7
b) 3.5.15.153.5.15.15 = 3. 5.3.5.3.5 = 33 . 53
c) 2.2.5.5.2 = 23 . 522.2.5.5.2
d) 1000.10.10 = 10.10.10.10.10 = 105
1. a) 74 b) 3.5.15.15 = 3.5.3.5.3.5 = 33.53 c) 23.52 d) 1000.10.10 = 10.10.10.10.10 = 105
2. 25 = 32 b) 24 = 81 c) 43 = 64 d) 54 = 625
3. => 8; 16; 125
a) \(125^7:25^4=\left(5^3\right)^7:\left(5^2\right)^4=5^{21}:5^8=5^{13}\)
b) \(27^8:9^5=\left(3^3\right)^8:\left(3^2\right)^5=3^{24}:3^{10}=3^{14}\)
c) \(4^{20}:2^{30}=\left(2^2\right)^{20}:2^{30}=2^{40}:2^{30}=2^{10}\)
d) \(28^n:2^n=28^n:4^n=7^n\)
e) \(64^5.16^6:4^{20}=2^{30}.2^{24}:2^{10}=2^{54}:2^{40}=2^{14}\)
f) \(32^4:8^6=2^{20}:2^{18}=2^2\)
\(a.125^7:25^4=5^{21}:5^8=5^{13}\)
\(b.27^8:9^5=3^{24}:3^{10}=3^{14}\)
\(c.4^{20}:2^{30}=2^{40}:2^{30}=2^{10}\)
\(d.28^n:2^{2n}=28^n:4^n=7n\)
\(\hept{\begin{cases}e.64^5.16^6:4^{20}=4^{15}.4^{12}:4^{20}=4^7\\f.32^4:8^6=2^{20}:2^{18}=2^2\end{cases}}\)
1a) 7^4 b) 15^4 c) 1000^2 d)a^3.b^3
e)m^4+p^2 f)a^7-a^2.b^2
2)a)2^6 b) 5^8 c) 3^10 d)3^14
e) a^6 f)b^5
a) 8 3 . 2 4 = ( 2 3 ) 3 . 2 4 = 2 13
b) 2 5 . 4 3 . 16 2 = 2 5 . ( 2 2 ) 3 . ( 2 4 ) 2 = 2 19
c) 8 2 . 2 3 . 4 5 = ( 2 3 ) 2 . 2 3 . ( 2 2 ) 5 = 2 19
d) 3 5 . 3 2 . 9 3 = 3 5 . 3 2 . ( 3 2 ) 3 = 3 13
e) 3 4 . 27 3 . 81 2 = 3 4 . ( 3 3 ) 3 . ( 3 4 ) 2 = 3
f) 10 3 . 100 3 . 1000 = 10 3 . ( 10 2 ) 3 . 10 3 = 10 12
a) 8 3 . 2 4 = 2 3 3 . 2 4 = 2 13
b) 2 5 . 4 3 . 16 2 = 2 5 . 2 2 3 . 2 4 2 = 2 19
c) 8 2 . 2 3 . 4 5 = 2 3 2 . 2 3 . 2 2 5 = 2 19
d) 3 5 . 3 2 . 9 3 = 3 5 . 3 2 . 3 2 3 = 3 13
e) 3 4 . 27 3 . 81 2 = 3 4 . 3 3 3 . 3 4 2 = 3 21
f) 10 3 . 100 3 . 1000 = 10 3 . 10 2 3 . 10 3 = 10 12
`a, 7 . 7 . 7 . 7 = 7^4`
`b, 3 . 5 . 15 . 15 = 3 . 5 . 3 . 5 . 3 . 5 = 3^3 . 5^3`
`c, 2 . 2 . 5 . 2 . 5 = 2^3 . 5^2`
`d, 1000 . 10 . 10 = 10^3 . 10 . 10 = 10^5`
`e, a . a . a . b . b . b . b = a^3 . b^4`
`f, n.n.n . p . p = n^3 . p^2`
\(7.7.7.7=7^4\)
\(3.5.15.15=15.15.15=15^3\)
\(1000.10.10=10^3.10.10=10^5\)
\(a.a.a.b.b.b.b=a^3.b^4\)
\(n.n.n+p.p=n^3+p^2\)