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1) 3 . 3 . 9 . 33 = 3 . 3 .3 . 3. 3 . 11 = 35 . 11
2) 100 . 10 . 10 . 5 . 2 = 10 . 10 . 10 . 10 . 10 = 105
3) 3 . 3 . 7 . 21 = 3 . 3 . 3 .7 . 7 = 33 . 72
4) 5 . 2 . 5 . 5 . 2 . 5 . 2 . 2 . 2 . 5 = 55 . 25
5) a . a . b . a . b = a3 . b2
a, 48.84
= (22)8.(23)4
= 216.212
= 228
b, 415.515
= (4.5)15
= 2015
c, 210.15 + 210.85
= 210.(15 + 85)
= 210.100
=210.(2.5)2
= 212.52
d, 33.92
= 33 . (32)2
= 33.34
= 37
e, 512.7 - 511.10
= 511.(5.7 - 10)
= 511.25
=511.52
=513
f, \(x^1\).\(x^2\).\(x^3\)....\(x^{100}\)
= \(x^{1+2+3+...+100}\)
= \(x^{\left(1+100\right).100:2}\)
= \(x^{5050}\)
1: 2*2*2*2*2*2=2^6
2: x*x*x*x=x^4
3: =7^4*6^4=42^4
4: =5^2*3^2*4^2=60^2
5: =2*3^2*5^5
6: =10^3*10^3=10^6
a/ \(8.4.10.25=2^3.2^2.2.5.5^2=2^6.5^3\)
b/ \(5^{15}.5^3=5^{18}\)
c/ \(18.42.7.9.49=3.6.6.7.7.3^2.7^2=3^3.6^2.7^4\)
d/ \(2.4.8.16...........2^{10}=2^1.2^2.2^3.....2^{10}=2^{\left(1+2+3+...+10\right)}=2^{\left(10+1\right).10:2}=2^{55}\)
bài 11
\(6.6.6.6=6^4\) '\(b.5.15.15.15.3=15.15.15.15=15^4\)
\(c.81.3.3.3=3^4.3^3=3^7\)
bài 12.
\(a.765.5=153.5^2\)
\(b.837.7.7=93.21^2\)
\(c.568.8.2.4=71.8.2^6=71.2^9\)
a)5.5.5.5.5.5=56
b)6.6.6.3.2=6.6.6.6=64
c)2.2.2.3.3=6.6.2=62.2
d)100.10.10.10=10.10.10.10.10=105
a) 56
b) 23. 32
c) 6.6.6.3.2=6.6.6.6=64
d)100.10.10.10=10.10.10.10.10=105
a) 5 . 5 . 5 . 5 . 5 . 5 . 5 = 56
b) 6 . 6 . 6 . 3 . 2 = 63 . 61
c) 2.2.2.3.3 = 23 . 32
d) 100 . 10 . 10 . 10 = 102 . 103
\(7\cdot7\cdot7\cdot7=7^4\)
\(2\cdot2\cdot5\cdot2\cdot2=\left(2\cdot2\cdot2\right)\cdot\left(5\cdot5\right)=2^3\cdot5^2\)
\(3\cdot5\cdot15\cdot15=3\cdot5\cdot5\cdot3\cdot3\cdot5=\left(3\cdot3\cdot3\right)\cdot\left(5\cdot5\cdot5\right)=3^3\cdot5^3\)
\(1000\cdot10\cdot10=10\cdot10\cdot10\cdot10\cdot10=10^5\)
\(a.7^4\)
\(b.2^3.5^2\)
\(c.15^3\)
\(d.10^5\)