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1,
a, \(11.11.11=11^3\)
b,\(55.5.5.13.13=55.5^2.13^2\)
c, \(3^7.3^{10}.3^2=3^{\left(7+10+2\right)}=3^{19}\)
d, \(2^5.2^6.2^7.2.2.2=2^5.2^6.2^7.2^3\)
e, \(2^9:2^3.2^4=2^6.2^4=2^{10}\)
2,
\(4^9:8^5=8\)
\(32^{10}:8^5=4^{10}.8^{10}:8^5=4^{10}.8^5\)
\(9^{15}:27^{10}=9^{15}:9^{10}.3^{10}=9^5.3^{10}\)( tự tính)
3,
Ta có:
\(7^{200}=7^{2.100}=\left(7^2\right)^{100}=49^{100}\)
\(2^{700}=2^{7.100}=\left(2^7\right)^{100}=128^{100}\)
Vì \(128^{100}>49^{100}\)nên \(2^{700}>7^{200}\)
a)9^5:3^7=27
b)4^7:2^7=128
c)2^5:4^7= ko có kết quả
d)5^4:125=5
e)8^5:4^7=2
g)8^3:4^4=2
nhớ **** cho mình nha
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
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) \(64^3.4^8.16^4=\left(4^3\right)^3.4^8.\left(4^2\right)^4=4^{3.3}.4^8.4^{2.4}=4^9.4^8.4^8=4^{9+8+8}=4^{25}\)
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 )
a, \(3^4.5^4=\left(3.5\right)^4=15^4\)
b, \(8^3.32^4=\left(2^3\right)^3.\left(2^5\right)^4=2^9.2^{20}=2^{29}\)
c, \(49^2.7^5=\left(7^2\right)^2.7^5=7^4.7^5=7^9\)
d, \(2^3.4^3.16^4=2^3.\left(2^2\right)^3.\left(2^4\right)^4=2^3.2^6.2^{16}=2^{25}\)
Chúc bạn học tốt!!!
a) \(3^4.5^4=\left(3.5\right)^4=15^4\)
b) \(8^3.32^4=\left(2^3\right)^3.\left(2^5\right)^4=2^9.2^{20}=2^{29}\)
c) \(49^2.7^5=\left(7^2\right)^2.7^5=7^4.7^5=7^9\)
d) \(2^3.4^3.16^4=2^3.\left(2^2\right)^3.\left(2^4\right)^4=2^3.2^6.2^{16}=2^{25}\)
Chúc học tốt!!!
a)\(2.2.2.3.3=2^3.3^2\)
b)\(8.8.8.2=2^3.2^3.2^3.2=2^{10}\)
c)\(8^4.16^5=\left(2^3\right)^4.\left(2^4\right)^5=2^{12}.2^{20}=2^{32}\)
d)\(5^{40}.125^2.625^3=5^{40}.\left(5^3\right)^2.\left(5^4\right)^3=5^{40}.5^6.5^{12}=5^{58}\)
e)\(27^4.81^{10}=\left(3^3\right)^4.\left(3^4\right)^{10}=3^{12}.3^{40}=3^{52}\)
f)\(10^3.100^5.1000^4=10^3.\left(10^2\right)^5.\left(10^3\right)^4=10^3.10^{10}.10^{12}=10^{25}\)
a,2.3.6.6.3=2.(3.3).(6.6)=2.3^2.6^2.
b,225.15.15.15=15.15.15.15.15=15^5.
c,7^3.7^5.49=7^3.7^5.7^2=7^10.
d,5^4.5^5.125=5^4.5^5.5^3=5^12.
e,2^8.2^2.32=2^8.2^2.2^5=2^15.