1)Scrieți sub formă de cuburi numerele.
64=8×8=2³×2³=(2²)³=4³
343=7×7×7=7³
125=5×5×5=5³
216=2³×3³=(2×3)³=6³
[tex] 4^{9} =(2^{2})^{9}=2^{18}=2^{3 \cdot6} =(2^{6} )^{3} =64^{3} [/tex]
[tex]6^{12} =(2\cdot3})^{12}=(2\cdot3)^{12}=(2\cdot3)^{3 \cdot4}=((2\cdot3)^{4)^3}=(8^{4})^{3}=4096^{3} [/tex]
2. Ordonati crescator
[tex] 5^{7}; 5^{20} ;125=5^{3}; 5^{41}; 5^{16}; 5^{42} \\ \\ 125=5^{3}; 5^{7} ; 5^{16}; 5^{20}; 5^{41}; 5^{42}[/tex]
[tex]64=4^{3}; 4^{6};4^{17};5^{16};(5)^{16)^{2}}=16^{32};5^{41}. [/tex]
