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E= 29.26:213 = 29+6-13 = 22 = 4
F=35.27.26 = 35.33.26 = 38.26 = 419904
G=64.210 :214 = 26.210 :214 = 26+10-14 = 22 = 4
F=32.128:210 = 25.27:210 = 25+7-10 = 22 = 4
a.
A = 72^3.54^2/108^4
A = (72.54:108)^2:108^2.72
A = 36^2:108^2.72
A = (36:108)^2.72
A = (1/3)^2.72
A = 72/9
A = 8
B = \(\frac{3^{10}.11+3^{10}.5}{3^9.2^4}\)
B = \(\frac{3^{10}.\left(11+5\right)}{3^9.2^4}\)
B = \(\frac{3^{10}.16}{3^9.16}\)
B = 3
Câu b:
B = (3\(^{10}\).11 + 3\(^{10}\).5) : (3\(^9\).2\(^4\))
B = 3\(^{10}\).(11 + 5): (3\(^9\).2\(^4\))
B = 3\(^{10}\).16:(3\(^9\).2\(^4\))
B = (3\(^{10}\) : 3\(^9\)).(16 : 2\(^4\))
B = 3.1
B = 3
Câu c:
C = (2\(^{10}\).13 + 2\(^{10}\).65) : (2\(^8\).104)
C = 2\(^{10}\).(13 + 65):(2\(^8\).104)
C = 2\(^{10}\).78 : (2\(^8\).104)
C = (2\(^{10}\) : 2\(^8\)).(78 : 104)
C = 2\(^2\).\(\frac34\)
C = 3
e, \(E=\dfrac{4^6.3^4.9^5}{6^{12}}=\dfrac{\left(2^2\right)^6.3^4.\left(3^2\right)^5}{2^{12}.3^{12}}\)
\(=\dfrac{3^4.3^{10}}{3^{12}}=3^2=9\)
f, \(F=\dfrac{2^{13}+2^5}{2^{10}+2^2}=\dfrac{2^5.\left(2^8+1\right)}{2^2.\left(2^8+1\right)}=2^3=8\)
g, \(G=\dfrac{21^2.141.125}{35^{5.6}}=\dfrac{3^2.7^2.47.3.5^3}{5^{30}.7^{30}}\)
\(=\dfrac{3^3.47}{5^{27}.7^{28}}\)(bạn xem lại đề nha)
Các câu còn lại làm tương tự! Chúc bạn học tốt!!!
a/ \(9^{27}=\left(3^2\right)^{27}=3^{54}\) và \(81^{13}=\left(3^4\right)^{13}=3^{52}\Rightarrow3^{54}>3^{52}\Rightarrow9^{27}>81^{13}\)
b/ \(5^{14}=\left(5^2\right)^7=25^7< 27^7\)
d/ \(2^{300}=\left(2^3\right)^{100}=8^{100}\) và \(3^{200}=\left(3^2\right)^{100}=9^{100}\Rightarrow8^{100}< 9^{100}\Rightarrow2^{300}< 3^{200}\)
f/ \(3^{450}=\left(3^3\right)^{150}=27^{150}\) và \(5^{300}=\left(5^2\right)^{150}=25^{150}\Rightarrow27^{150}>25^{150}\Rightarrow3^{450}>5^{300}\)
c/ \(10^{30}=\left(10^3\right)^{10}=1000^{10}\) và \(2^{100}=\left(2^{10}\right)^{10}=1024^{10}\Rightarrow1000^{10}< 1024^{10}\Rightarrow10^{30}< 2^{100}\)
A, B, C,... là tên của bài bạn nha
VD: A, 15+x=15
B, 16+14+14+14
a)\(\left(10^2+11^2+12^2\right)\div\left(13^2+14^2\right)\)
\(=\left(100+121+144\right)\div\left(169+196\right)\)
\(=365\div365\)
\(=1\)
b) \(1.2.3...9-1.2.3...8-1.2.3...8^2\)
\(=1.2.3...8\left(9-1-8\right)\)
\(=1.2.3...8.0\)
\(=0\)
d) \(1152-\left(374+1152\right)+\left(-65+374\right)\)
\(=1152-374-1152-65+374\)
\(=\left(1152-1152\right)-65+\left(374-374\right)\)
\(=0-65+0\)
\(=-65\)
e) \(13-12+11+10-9+8-7-6+5-4+3+2-1\)
\(=13-\left(12-11\right)+\left(10-9\right)+\left(8-7\right)-\left(6-5\right)-\left(4-3\right)\)\(+\left(2-1\right)\)
\(=13-1+1+1-1-1+1\)
\(=13+0+0+0\)
\(=13\)