[tex]\it 9=3^2;\ \ \ 25=5^2;\ \ \ 100=10^2=(2\cdot5)^2=2^2\cdot5^2\\ \\ 256=16^2=(2^4)^2=2^8;\ \ \ 400=20^2=(2^2\cdot5)^2=2^4\cdot5^2\\ \\ 576=24^2=(8\cdot3)^2=(2^3\cdot3)^2=2^6\cdot3^2;\ \ 729=27^2=(3^3)^2=3^6\\ \\ 900=30^2=(2\cdot3\cdot5)^2=2^2\cdot3^2\cdot5^2;\ \ 1024=32^2=(2^5)^2=2^{10}[/tex]
[tex]\it 1296 =36^2=(6^2)^2=6^4=(2\cdot3)^4=2^4\cdot3^4[/tex]
