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\(1,2^3.2^2.4^3=2^3.2^2.\left(2^2\right)^3=2^3.2^2.2^6=2^{3+2+6}=2^{11}\)
\(2,3^5.9^6.27^0=3^5.\left(3^2\right)^6.1=3^5.3^{12}=3^{5+12}=3^{17}\)
\(3,48.4^5.64^8\div3=48\div3.4^5.\left(4^3\right)^8=4^2.4^5.4^{24}=4^{2+5+24}=4^{31}\)
Bài 1 :
a/ \(a^3.a^9=a^{3+9}=a^{12}\)
b/\(\left(a^5\right)^7=a^{5.7}=a^{35}\)
c/ \(\left(a^6\right).4.a^{12}=a^{24}.a^{12}.4=a^{24+12}.4=a^{36}.4\)
d/ \(\left(2^3\right)^5.\left(2^3\right)^3=2^{15}.2^9=2^{15+9}=2^{24}\)
e/ \(5^6:5^3+3^3.3^2\)
\(=5^3+3^5=125+243=368\)
i/ \(4.5^2-2.3^2\)
\(=2^2.5^2-2.3^2\)
\(=2^2.25-2^2.14\)
\(=2^2.\left(25-14\right)\)
\(=2^2.11\)
\(=4.11=44\)
\(A=8^2.32^4=2^6.2^{20}=2^{26}\)
\(\Rightarrow2^{26}\)
\(B=27^3.9^4.243=3^9.3^8.3^5=3^{22}\)
\(\Rightarrow3^{22}\)
TL
a . x ∈ ∅ b . x=-10, x=-5177/5000, x=-10173/10000.
HT