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\(a,3^6\cdot3^7=3^{6+7}=3^{13}\)
\(b,5\cdot5^4\cdot5^2\cdot5^5=5^{1+4+2+5}=5^{12}\)
\(c,a^4\cdot a^5\cdot a^{10}=a^{4+5+10}=a^{19}\)
\(d,x^{10}\cdot x^4\cdot x=x^{10+4+1}=x^{15}\)
\(e,3\cdot3\cdot3\cdot9=3^3\cdot3^2=3^5\)
\(f,a^2\cdot a\cdot a\cdot a\cdot a\cdot a\cdot a=a^{2+1+1+1+1+1+1}=a^8\)
a: 3^6*3^7=3^13
b: \(=5^{1+4+2+5}=5^{11}\)
c: \(=a^{4+5+10}=a^{19}\)
d: \(=x^{10+4+1}=x^{15}\)
e: \(=3^3\cdot3^2=3^5\)
f: \(=a^2\cdot a^6=a^8\)
a, 4 8 . 4 10 = 4 18
b, 2 20 . 2 7 = 2 27
c, 5 12 . 5 5 . 5 4 = 5 21
d, 4 3 . 4 5 . 4 5 = 4 13
e, 8 6 . 8 5 . 8 5 = 8 16
f, x 7 . x 4 . x 3 = x 14
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) 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 ) 2 . 10 3 = 10 12
1.
a) 3.3.3.3.3=35 b)4.8.8.2=22.23.23.2=29
c)y.y.y.y=y4 d)12.12.3.4=3.4.3.4.3.4=33.43
e)2.x.2.x.2x.x=23.x4 f) a.b.a.b.c.b.c=a2.b3.c2
a) 82.324 = (23)2.(25)4 = 26 . 220 = 226
b) 273.94.243 = (33)3.(32)4.35 = 39.38.35 = 322
c)5.125.625 = 5.53.54 = 58
d)10.100.1000 = 10.102.103 = 106
e)84.165.32=(23)4.(24)5.25 = 212.220.25 = 237
f)274.8110=(33)4.(34)10=312.340=352
a) 82.324 = (23)2.(25)4 = 26 . 220 = 226
b) 273.94.243 = (33)3.(32)4.35 = 39.38.35 = 322
c)5.125.625 = 5.53.54 = 58
d)10.100.1000 = 10.102.103 = 106
e)84.165.32=(23)4.(24)5.25 = 212.220.25 = 237
f)274.8110=(33)4.(34)10=312.340=352
a) 29 b) 35 c) 202 d) 154 e) 210 f) 103
a) 4.8.8.2
= 2 .2.2.2.2.2.2.2.2
= 29
b) 3.3.3.9
= 3.3.3.3.3
= 35
c) 2.2.4.5.5
= 2.2.2.2.5.5
= 24 .52
d) 15.15.3.15.5
= 5.3.5.3.3.5.3.5
= 54 . 34
e)16.8.2.4
= 2.2.2.2.2.2.2.2.2.2
= 21 0
f) 20.5.10
= 2.2.5.5.2.5
= 23 . 53