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20 tháng 6 2017
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) $10^6:10=10^{6-1}=10^5$
$5^8:25^2=5^8:(5^2)^2=5^8:5^4=5^{8-4}=5^4$
$4^9:64^2=4^9:(4^3)^2=4^9:4^6=4^{9-6}=4^3$
$2^25:32^4=2^{25}:(2^5)^4=2^{25}:2^{20}=2^{25-20}=2^5$
$18^3:9^3=(18:9)^3=2^3$
20 tháng 6 2017
\(\cdot3^8:3^6=3^{8-6}=3^2\)
\(\cdot19^7:19^3=19^{7-3}=19^4\)
\(\cdot2^{10}:8^3=2^{10}:\left(2^3\right)^3=2^{10}:2^9=2\)
\(\cdot12^7:6^7=\left(12:6\right)^7=2^7\)
\(\cdot27^5:81^3=\left(3^3\right)^5:\left(3^4\right)^3=3^{15}:3^{12}=3^3\)
\(\cdot10^6:10=10^{6-1}=10^5\)
\(\cdot5^8:25^2=5^8:\left(5^2\right)^2=5^8:5^4=5^4\)
\(\cdot4^9:64^2=4^9:\left(4^3\right)^2=4^9:4^6=4^3\)
\(2^{25}:32^4=2^{25}:\left(2^5\right)^4=2^{25}:2^{20}=2^5\)
\(18^3:9^3=\left(18:9\right)^3=2^3\)
12 tháng 7 2019
\(A=18^{15}-\frac{8^5.9^{14}.5}{4^8}.27^{10}-4^7.3^{31}=\left(2.3^2\right)^{15}-\frac{\left(2^3\right)^5.\left(3^2\right)^{14}.5}{\left(2^2\right)^8}.\left(3^3\right)^{10}-\left(2^2\right)^7.3^{31}\)
\(=2^{15}.3^{30}-\frac{2^{15}.3^{28}.5}{2^{16}}.3^{30}-2^{14}.3^{31}\)
\(=2^{15}.3^{30}-\frac{3^{58}.5}{2}-2^{14}.3^{31}\)
\(=2^{14}.3^{30}\left(2-3\right)-\frac{3^{58}.5}{2}=-1.2^{14}.3^{30}-\frac{3^{58}.5}{2}=-1.2^{15}.3^{30}-3^{58}.5\)
\(=3^{30}\left(-1.2^{15}-3^{28}.5\right)\)
PN
3 tháng 8 2019
a,75 + 74 - 73
= 73.(72 + 7 - 1 )
= 73.(49 + 7 - 1)
= 73. 55
= 73 . 5 . 11 luôn chia hết cho 11
b,815 + 814 +813
= 813. (82 + 8 + 1)
= 813 . 73 luôn chia hết cho 73
LC
16 tháng 9 2018
1, \(81\cdot27^3\cdot243^5=3^4\cdot3^9\cdot3^{25}=3^{38}\)
2,\(25^4\cdot125^3\cdot625^7=5^8\cdot5^9\cdot5^{28}=5^{45}\)
3,
\(16^3\cdot8^9\cdot64^5\cdot1024=2^{12}\cdot2^{27}\cdot2^{30}\cdot2^{10}=2^{79}\)
25 tháng 9 2016
a) \(4^{10}.2^{30}=\left(2^2\right)^{10}.2^{30}=2^{2.10}.2^{30}=2^{20}.2^{30}=2^{20+30}=2^{50}\)
b) \(9^{25}.27^4.81^3=\left(3^2\right)^{25}.\left(3^3\right)^4.\left(3^4\right)^3=3^{3.25}.3^{3.4}.3^{4.3}=3^{75}.3^{12}.3^{12}=3^{75+12+12}=3^{99}\)
c) \(25^{50}.125^5=\left(5^2\right)^{50}.\left(5^3\right)^5=5^{2.50}.5^{3.5}=5^{100}.5^{15}=5^{100+15}=5^{115}\)
d) \(64^3.4^8.16^4=\left(4^3\right)^3.4^8.\left(4^2\right)^4=4^{3.3}.4^8.4^{2.4}=4^9.4^8.4^8=4^{9+8+8}=4^{25}\)
25 tháng 9 2016
e) \(3^8:3^6=3^{8-6}=3^2\)
f) \(2^{10}:8^3=2^{10}:\left(2^3\right)^3=2^{10}:2^{3.3}=2^{10}:2^9=2^{10-9}=2\)
g) \(12^7:6^7=\left(12:6\right)^7=2^7\)
h_ \(21^5:81^3\)kết quả là số dư nên không tính ( đề sai )
H
1
2 tháng 11 2019
a, \(\frac{25^{11}.4^{33}}{8^{15}.10^{22}}=\frac{\left(5^2\right)^{11}.\left(2^2\right)^{33}}{\left(2^3\right)^{15}.\left(2.5\right)^{22}}=\frac{5^{22}.2^{66}}{2^{45}.2^{22}.5^{22}}=\frac{5^{22}.2^{66}}{2^{67}.5^{22}}=\frac{1}{2}\)
b,\(\frac{8^4.5^8.9^3}{125^3.4^7.27}=\frac{\left(2^3\right)^4.5^8.\left(3^2\right)^3}{\left(5^3\right)^3.\left(2^2\right)^7.3^3}=\frac{2^{12}.5^8.3^6}{5^9.2^{14}.3^3}=\frac{3^3}{5.2^2}=\frac{27}{20}\)
Bạn làm nốt nhé cũng tương tự thôi !!!!!!!!!
NT
1
26 tháng 8 2015
415.530 = 230.530 = 1030
6255.257 = 520.514 = 534
2716 : 910 = 348 : 320 = 328
275 : 813 = 315 : 312 = 33
123 - 33 = 33.43 - 33 = 33.(43 - 1) = 33.65
\(8^{14}:\left(4^4.64^5\right)=2^{42}:\left(2^8.2^{30}\right)=2^{42}:\left(2^{8+30}\right)=2^{42}:2^{38}=2^{42-38}=2^4=16\)
\(\left(9^{10}.27^7\right):\left(81^7.3^{15}\right)=\left(3^{20}.3^{21}\right):\left(3^{28}.3^{15}\right)=\left(3^{20+21}\right)\left(3^{28+15}\right)\)
\(=3^{41}:3^{43}=3^{41-43}=3^{-2}=\frac{1}{9}\)