Răspuns:
Explicație pas cu pas:
[tex]\bf a)~~2^{26}\cdot 7^{30} =[/tex]
[tex]\bf 2^{13\cdot 2}\cdot 7^{15\cdot 2} =\blue{\underline{\big(2^{13}\cdot 7^{15}\big)^{2} \implies patrat ~perfect}}[/tex]
[tex]\bf b)~~8^{50}\cdot 7^{12} =[/tex]
[tex]\bf 8^{25\cdot 2}\cdot 7^{6\cdot 2} =\purple{\underline{\big(8^{25}\cdot 7^{6}\big)^{2} \implies patrat ~perfect}}[/tex]
[tex]\bf c)~~6^{100}\cdot 144^{15} =[/tex]
[tex]\bf 6^{50\cdot 2}\cdot \big(12^2\big)^{15} =\red{\underline{\big(6^{50}\cdot 12^{15}\big)^{2} \implies patrat ~perfect}}[/tex]
[tex]==pav38==[/tex]
