Raspuns:
[tex]1.\\4^2=16\\5^2=25\\6^2=36\\7^2=49\\8^2=64\\9^2=81~~~=> nr~patratelor~perfecte~de~2~cifre~este~6.[/tex]
[tex]2.\\2^{33}<3^{22}[/tex]
[tex]3.\\cub~perfect~este~numarul~z = 2 ^{44} = ( 2^{22})^2[/tex]
[tex]la ~4 ~nu ~stiu.~scuzeeee.[/tex]
[tex]5.\\
29=2^2+6^2\\
29=4+36=>fals[/tex]
[tex]6.\\ 29^{501} = 29* 29^{500} \\=(25+4)* 29^{500} [/tex][tex]\\=( 5^{2} + 2^{2} )* 29^{500} \\= 5^{2} * 29^{500} + 2^{2} * 29^{500} \\= ( 2* 29^{250}) ^{2} +( 2* 29^{250}) ^{2} [/tex]
