Explicație pas cu pas:
[tex] \bf \big[ \big(5 \cdot 2^{5}: 10 +3^{2} \big)^{7} : 5^{10}-20^{2} \big] :3^{2} = [/tex]
[tex]\bf \big[ \big(5 \cdot 2 \cdot2^{4}: 10 +3^{2} \big)^{7} : 5^{10}-20^{2} \big] :3^{2} = [/tex]
[tex]\bf \big[ \big(10\cdot2^{4}: 10 +3^{2} \big)^{7} : 5^{10}- 20^{20} \big] :9 = [/tex]
[tex]\bf \big[ \big(2^{4} +3^{2} \big)^{7} : 5^{10}- 20^{2} \big] :9 = [/tex]
[tex]\bf \big[ \big(16 +9 \big)^{7} : 5^{10}- 20^{2} \big] :9 = [/tex]
[tex]\bf \big[ \big( 5^{2} \big)^{7} : 5^{10}- 20^{2} \big] :9 = \big( 5^{2 \cdot7} : 5^{10}- 20^{2} \big):9[/tex]
[tex]\bf \big( 5^{14} : 5^{10}- 20^{2} \big):9 = \big( 5^{14 - 10}- 20^{2} \big):9 = [/tex]
[tex]\bf \big( 625- 400 \big):9 = 225: 9 = [/tex]
[tex]\bf 25 = \purple{5^{2} \implies \: patrat \: perfect}[/tex]
