Răspuns:
[tex]\bf \big(3^{13} \cdot 7\big)^{3}:3^{35} = 3^{13\cdot3}\cdot 7^{3}:3^{35}=[/tex]
[tex]\bf 3^{39}\cdot 7^{3}:3^{35}=3^{39-35}\cdot 7^{3}=[/tex]
[tex]\red{\underline{~\bf 3^{4}\cdot 7^{3}~}}[/tex]
[tex]\bf \big(23^{2018} \cdot 2^{2017}\big): \Big[ \big(46^{2} \big)^5 \Big]^{201} =[/tex]
[tex]\bf \big(23^{2018} \cdot 2^{2017}\big): \big(46^{2} \big)^{5 \cdot 201} = \big(23^{2018} \cdot 2^{2017}\big): \big(46^{2} \big)^{1005} =[/tex]
[tex]\bf \big(23^{2018} \cdot 2^{2017}\big): 46^{2\cdot 1005} = \big(23^{2018} \cdot 2^{2017}\big): 46^{2010} =[/tex]
[tex]\bf \big(23^{2018} \cdot 2^{2017}\big): \big(23^{2010} \cdot 2^{2010}\big) =[/tex]
[tex]\bf 23^{2018-2010} \cdot 2^{2017-2010} =[/tex]
[tex]\purple{\underline{~\bf 23^{8} \cdot 2^{7} ~}}[/tex]
