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4 mũ 2 = 2 mũ 3 nên 2 mũ 15. 4 mũ 2 = 2 mũ 15. 2 mũ 3 = 2 mũ 18
3 mũ 2 =9 mũ 1 nên9 mũ 12.3 mũ 2 =9 mũ 12. 9 mũ 1 = 9 mũ 11
225.42= 225 . (22)2 = 225. 24 = 229
912: 32 = (32)12: 32= 324: 32 = 322
\(a.3^3\times18-3^3\times15=3^3\times\left(18-15\right)=3^3\times3^1=3^{3-1}=3^2\)
Mình chỉ làm được con \(a\)thôi. Đợi xíu rồi mình làm b,c . t.ick cho mình đi nhé
a) = 53+4+1 = 58
b) = 65-4 = 6
c) = 32+3+4-7 = 32
d) = x4+2+1 = x7
e) = 812+10+3 = 825
1. \(5^3.5^4.5=5^{3+4+1}=5^8\)
2. \(6^5:\left(6^3.6\right)=6^5:\left(6^{3+1}\right)=6^5:6^4=6^{5-4}=6^1\)
3. \(\left(3^2.3^3.3^4\right):3^7=\left(3^{2+3+4}\right):3^7=3^9:3^7=3^{9-7}=3^2\)
4. \(x^4.x^2.x=x^{4+2+1}=x^7\)
5. \(\left(8^{12}.8^{10}\right).8^3=8^{12+10+3}=8^{25}\)
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) 27^16 : 9^10
Ta có: (3.9)^16 : 9^10
= 3^16.9^16: 9^10
= 3^16. 9^6
= 3^16.(3^2)^6
=3^16.3^12
=3^28
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) 24 . 23 = 27 = 128
b) 33 . 3 . 32 = 36 = 729
c) 100.104 = 100 . 10000 = 1000000
d)514 : 512 = 52 = 25
e) 718 : 716 = 72 = 49
f) 39 : 35 = 34 = 81
a) \(2^4.2^3=2^7=128\)
b) \(3^3.3.3^2=3^6=729\)
c) \(100.10^4=10^2.10^4=10^6=1000000\)
d) \(5^{14}:5^{12}=5^2=25\)
e) \(7^{18}:7^{16}=7^2=49\)
f) \(3^9:3^5=3^4=81\)
a) $125^3:25^4=(5^3)^3:(5^2)^4=5^9:5^8=5^1$
$16^4:4^2=(4^2)^4:4^2=4^8:4^2=4^6$
$27^8:9^4=(3^3)^8:(3^2)^4=3^{24}:3^8=3^{16}$
$125^5:25^3=(5^3)^5:(5^2)^3=5^{15}:5^6=5^9$
$4^{14}:5^{28}=(2^2)^{14}:5^{28}=2^{28}:5^{28}=(\dfrac{2}{5})^{28}$
b) $12^n:2^{2n}=12^n:(2^2)^n=12^n:4^n=3^n$
$64^4.16^5.4^{20}=(4^3)^4.(4^2)^5.4^{20}=4^{12}.4^{10}.4^{20}=4^{42}$
a) 32 . 34 = 36
b) 512 . 515 = 527
c) (34)4 . 37 = 316 . 37 = 323
d) 315 . 415 = ( 3 . 4 ) 15 = 1215
e) 2312 . 412 = ( 23 . 4 ) 12 = 9212
f) 312 . 212 . 6-4 = ( 3 . 2 ) 12 . 6-4 = 612 . 6-4 = 68
a) 3 mũ 6,b)5 mũ 17 c)3 mũ 23d)12 mũ 15e)92 mũ 12f)6 mũ8