A= 82 . 324 = (23)2 . (25)4 = 26.220 = 226
\(B=27^3.9^4.81^2\)
\(=\left(3^3\right)^3.\left(3^2\right)^4.\left(3^4\right)^2\)
\(=3^9.3^8.3^8\)
\(=3^{25}\)
A) \(2^{300}=\left(2^3\right)^{100}=8^{100}\)
\(3^{200}=\left(3^2\right)^{100}=9^{100}\)
do \(8^{100}< 9^{100}=>A< B\)
B) \(27^5=\left(3^3\right)^5=3^{15}\)
\(243^3=\left(3^5\right)^3=3^{15}\)
=> \(27^5=243^3\)