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a) 37:35= 32
b)46 :46= 40
C) a4 : a= a3
d) 98:32 =314
e) 85:23 = 212
f) 37:27 = 34
\(a,3^7:3^5=3^2\)
\(b,4^6:4^6=4^0\)
\(c,a^4:a=a^3\)
\(d,9^8:3^2=9^4\)
\(e,8^5:2^3=8^{-7}\)
\(f,3^7:27=3^4\)
a) 35 . 45 = (3. 4)5 = 125
b) 85 . 23 = 215 . 23 = 218
c) 46 : 46 = 11
d) 98 : 32 = 316 : 32 = 314
a)35.45=(3.4)5=125
b) 85.23=(23)5.23=215.23=215+3=218
c) 46:46=1=12
d) 98: 32=98:9=98-1=97
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) $10^6:10=10^{6-1}=10^5$
$5^8:25^2=5^8:(5^2)^2=5^8:5^4=5^{8-4}=5^4$
$4^9:64^2=4^9:(4^3)^2=4^9:4^6=4^{9-6}=4^3$
$2^25:32^4=2^{25}:(2^5)^4=2^{25}:2^{20}=2^{25-20}=2^5$
$18^3:9^3=(18:9)^3=2^3$
\(\cdot3^8:3^6=3^{8-6}=3^2\)
\(\cdot19^7:19^3=19^{7-3}=19^4\)
\(\cdot2^{10}:8^3=2^{10}:\left(2^3\right)^3=2^{10}:2^9=2\)
\(\cdot12^7:6^7=\left(12:6\right)^7=2^7\)
\(\cdot27^5:81^3=\left(3^3\right)^5:\left(3^4\right)^3=3^{15}:3^{12}=3^3\)
\(\cdot10^6:10=10^{6-1}=10^5\)
\(\cdot5^8:25^2=5^8:\left(5^2\right)^2=5^8:5^4=5^4\)
\(\cdot4^9:64^2=4^9:\left(4^3\right)^2=4^9:4^6=4^3\)
\(2^{25}:32^4=2^{25}:\left(2^5\right)^4=2^{25}:2^{20}=2^5\)
\(18^3:9^3=\left(18:9\right)^3=2^3\)
a) ( 3 x 3 x 3 x 3 x 3 ) x ( 4 x 4 x 4 x 4 x4 ) = 243 x 1024 = 248832 vi 3^5 = 5 con 3 x nhau = 243, 4^5 = 5 con 4 x nhau = 1024
3^5 4^5
b) ( 8 x 8 x 8 x 8 x 8 ) x ( 2 x 2 x 2 ) = 32768 x 8 = 262144 vi 8^5 =5 con 8 x nhau = 32768, 2^3 = 3 con 2 nhan nhau = 8
8^5 2^3
k cho tk nha
a﴿ ﴾ 3 x 3 x 3 x 3 x 3 ﴿ x ﴾ 4 x 4 x 4 x 4 x4 ﴿
= 243 x 1024 = 248832 vi 3^5 = 5 con 3 x nhau = 243, 4^5 = 5 con 4 x nhau = 1024
3^5 4^5
b﴿ ﴾ 8 x 8 x 8 x 8 x 8 ﴿ x ﴾ 2 x 2 x 2 ﴿
= 32768 x 8 = 262144 vi 8^5 =5 con 8 x nhau = 32768, 2^3 = 3 con 2 nhan nhau = 8
8^5 2^3
cho tk nha
a,\(\left(25^{11}.5^9\right):\left(5^{46}.625\right)\)
\(=\left(5^{42}.5^9\right):\left(5^{46}.5^4\right)\)
\(=5^{51}:5^{50}=5\)
b,\(\left(3^{2011}+3^{2009}\right):3^{2000}:9^4\)
\(=\left(3^{2009}.\left(3^2+1\right)\right):3^{2000}:3^8\)
\(=3^{2009}.10:3^{2008}\)
\(=3.10=30\)
a125^5:25^3=(5^3)^5:(5^2)^3=5^15:5^6=5^9
b27^6:9^3=(3^3)^6:(3^2)^3=3^18:3^6=3^13
c 4^20:2^15=(2^2)^20:2^15=2^40:2^15=2^25
d24^n:2^2.n=24^n:(2^2)^n=24^n:4^n=(24:4)^n=6^n
e 64^4 . 16^5:4^20=(2^6)^4 . (2^4)^5 :(2^2)^20=2^24 . 2^20:2^40=2^4
g 32^4:8^6=(2^5)^4:(2^3)^6=2^20:2^18=2^2
a, \(125^5:25^3=\left(5^3\right)^5:\left(5^2\right)^3=5^{15}:5^6=5^9\)
b, \(27^6:9^3=\left(3^3\right)^6:\left(3^2\right)^3=3^{18}:3^6=3^{12}\)
c, \(4^{20}:2^{15}=\left(2^2\right)^{20}:2^{15}=2^{40}:2^{15}=2^{25}\)
d, \(24^n:2^{2.n}=2^n.12^n:2^n.2^n=12^n:2^n=2^n.6^n:2^n=6^n\)
e, \(64^4.16^5:4^{20}=4^{12}.4^{10}:4^{20}=4^{12+10-20}=4^2\)
g, \(32^4:8^6=8^4.4^4:8^4.8^2=4^4:4^2.2^2=4^2.2^2=2^4.2^2=2^6\)
a ) 213. 45 . 82
= 213. ( 22 )5 . ( 23 )2
= 213. 210 . 26
= 229
b ) 369 : 189
= ( 36 : 18 )9
= 29
c ) 1006 . 10004 . 100003
= ( 102 )6 . ( 103 )4 . ( 104 )3
= 1012 . 1012 . 1012
= 1036
d ) 245 : 65 . 88
= ( 24 : 6 )5 . ( 23 )8
= 45 . 224
= ( 22 )5 . 224
= 210 . 224
= 234
a,đổi 45 thành 210
đổi 82 thành 26
ta có 210.26.213 và bằng 229
b,đổi 369 thành 1818
ta có 1818:189 và bằng 189
c,đổi 10004 thành 10040
đổi 100003 thành 100300
ta có 1006.10040.100300 bằng 100346
d,cũng làm theo cách đó và d=1310722