Viết các tích sau dưới dạng lũy thừa
A)8^4.16^5
B)27^4.8^10
C)5^40.125^2.625^3
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a) A = 5.125 .625 = 5.53. 54 = 58
b) B = 10.100.1000 = 10.102.103 = 106
c) C = 84.165.32 = 212.220.25 = 237
d) 274.8110 = 312.340 = 352
a) A = 5.125 .625 = 5.53. 54 = 58
b) B = 10.100.1000 = 10.102.103 = 106
c) C = 84.165.32 = 212.220.25 = 237
d) 274.8110 = 312.340 = 352
Chúc bn học tốt!
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
\(4.16^5.32=2^2.2^{20}.2^5=2^{27}\)
\(72^4.81^{10}=2^{12}.3^8.3^{40}=2^{12}.3^{48}=2^{12}.\left(3^4\right)^{12}=2^{12}.81^{12}=243^{12}\)
a) (4 * 5)^13 = 20^13 b) (27^16) / (9^10) = 3^(3*16) / 3^(2*10) = 3^48 / 3^20 c) (16^3) / (8^4) = 2^(4*3) / 2^(3*4) = 2^12 / 2^12 = 1
l) 27^8=(33)8=324
=>278:322=324:322
=324-22=32
m) 8^4=(23)4=212
45=(22)5=210
=>84:45=212:210
=212-10=22
a) \(27^8:3^{22}\)
\(=\left(3^3\right)^8:3^{22}\)
\(=3^{24}:3^{22}=3^{24-22}\)
\(=3^2\)
b) \(8^4:4^5\)
\(=\left(2^3\right)^4:\left(2^2\right)^5\)
\(=2^{12}:2^{10}=2^{12-10}=2^2\)
a. \(5^{10}.125^2.625^3=5^{10}.\left(5^3\right)^2.\left(5^4\right)^3=5^{10}.5^6.5^{12}=5^{10+6+12}=5^{28}\)
a: \(=5^{10}\cdot5^6\cdot5^{12}=5^{28}\)
b: \(=10^3\cdot10^8\cdot10^{15}=10^{26}\)
c: \(=2^{20}\cdot2^{20}=2^{40}\)
d: \(=2^{16}\cdot2^{16}\cdot3^8=2^{32}\cdot3^8\)
e: \(=\dfrac{3^{24}}{3^8}=3^{16}\)
f: \(=2^{12}\cdot2^{20}\cdot2^5=2^{37}\)
a: \(A=8^2\cdot32^4=2^6\cdot2^{20}=2^{26}\)
b: \(B=27^3\cdot9^4\cdot243=3^9\cdot3^8\cdot3^5=3^{22}\)
\(a,3^4.3^5=3^{4+5}=3^9\\ b,12^8:12=12^{8-1}=12^7\\ c,4.8^6.2.8^3=\left(4.2\right).\left(8^6.8^3\right)=8.8^{6+3}=8.8^9=8^{1+9}=8^{10}\)
\(a.3^4.3^5=3^9\)
\(b.12^8:12=12^7\)
\(c.4.8^6.2.8^3\)
\(=\left(4.2\right)8^6.8^3\)
\(=8.8^6.8^3=8^{10}\)
a)8^4 . 16^5 = 2^12 . 2^20 = 2^32
232
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