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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,\(\left(3^{2011}+3^{2009}\right):3^{2000}:9^4\)
\(=\left(3^{2009}.\left(3^2+1\right)\right):3^{2000}:3^8\)
\(=3^{2009}.10:3^{2008}\)
\(=3.10=30\)
a)= 24x5^5+5^5=5^5(24+1)=5^5x5^2=5^7
b)=21x3^8+9x3^8+51x3^8=3^8(21+9+51)=3^8x3^4=3^12
= 35+3
38 :33 = 38-3=35
38 :35= 38-5=33
27:23=27-3=24
27:24=27-4=23
\(a,12^{13}.18^9.24^{25}\)
\(=2^{26}.3^{13}.2^9.3^{18}.2^{50}.3^{25}\)
\(=2^{85}.3^{56}\)
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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) $10^6:10=10^{6-1}=10^5$
$5^8:25^2=5^8:(5^2)^2=5^8:5^4=5^{8-4}=5^4$
$4^9:64^2=4^9:(4^3)^2=4^9:4^6=4^{9-6}=4^3$
$2^25:32^4=2^{25}:(2^5)^4=2^{25}:2^{20}=2^{25-20}=2^5$
$18^3:9^3=(18:9)^3=2^3$
\(\cdot3^8:3^6=3^{8-6}=3^2\)
\(\cdot19^7:19^3=19^{7-3}=19^4\)
\(\cdot2^{10}:8^3=2^{10}:\left(2^3\right)^3=2^{10}:2^9=2\)
\(\cdot12^7:6^7=\left(12:6\right)^7=2^7\)
\(\cdot27^5:81^3=\left(3^3\right)^5:\left(3^4\right)^3=3^{15}:3^{12}=3^3\)
\(\cdot10^6:10=10^{6-1}=10^5\)
\(\cdot5^8:25^2=5^8:\left(5^2\right)^2=5^8:5^4=5^4\)
\(\cdot4^9:64^2=4^9:\left(4^3\right)^2=4^9:4^6=4^3\)
\(2^{25}:32^4=2^{25}:\left(2^5\right)^4=2^{25}:2^{20}=2^5\)
\(18^3:9^3=\left(18:9\right)^3=2^3\)
(32)25.(33)4.(34)3=350.312.312=374
(52)50.(53)5=5115
(416)3.48.(42)4=
a 350 x312 x 312 = 374
b 5100 x 515 =5115
c 49 x 48 x 48 = 425
a, \(2+2^2+.....+2^{49}+2^{50}=2^{1+2+..+50}=2^{\frac{\left(50+1\right)\left[\left(50-1\right):1+1\right]}{2}}=1275\)
b, tương tự
b1
a.7^3
b.7^3*5^3
c.2^5*3^3*4^2
dx^3 *y^3
mình nha mình làm b1 thui
a) 7.7.7 = 73
b) 7.35.7.25 = 53 x 73
c) 2.3.8.12.24 = 29 x 33
d) x.x.y.y.x.y.x = x4 . y3
Bài 2:Viết kết quả dưới dạng lũy thừa.
a) 35 : 37 = 3-2
b) 125 : 53 = 11
c) 75 : 343 = 72
d) a12 : a8 = a4
Bằng 272631105 nha