\(A=8^2\cdot32^4\\ =2^6\cdot2^{20}\\ =2^{26}\\ B=27^3\cdot9^4\cdot243\\ =3^9\cdot3^{12}\cdot3^5\\ =3^{26}\)
`A=8^2*32^4=(2^3)^2*(2^5)^4=2^6*2^20=2^26`
`B=27^3*9^4*243=(3^3)^3*(3^2)^4*3^5=3^9*3^8*3^5=3^22`
\(A=8^2.32^4\)
\(=\left(2^3\right)^2.\left(2^5\right)^4\)
\(=2^6.2^{20}\)
\(=2^{26}\)
\(B=27^3.9^4.243\)
\(=\left(3^3\right)^3.\left(3^2\right)^4.3^5\)
\(=3^9.3^8.3^5\)
\(=3^{22}\)