Question

Doar 2 va rog azii. Dau coroana!!!

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Answer 1

Explicație pas cu pas:

$\bf \big[ \big(5 \cdot 2^{5}: 10 +3^{2} \big)^{7} : 5^{10}-20^{2} \big] :3^{2} =$

$\bf \big[ \big(5 \cdot 2 \cdot2^{4}: 10 +3^{2} \big)^{7} : 5^{10}-20^{2} \big] :3^{2} =$

$\bf \big[ \big(10\cdot2^{4}: 10 +3^{2} \big)^{7} : 5^{10}- 20^{20} \big] :9 =$

$\bf \big[ \big(2^{4} +3^{2} \big)^{7} : 5^{10}- 20^{2} \big] :9 =$

$\bf \big[ \big(16 +9 \big)^{7} : 5^{10}- 20^{2} \big] :9 =$

$\bf \big[ \big( 5^{2} \big)^{7} : 5^{10}- 20^{2} \big] :9 = \big( 5^{2 \cdot7} : 5^{10}- 20^{2} \big):9$

$\bf \big( 5^{14} : 5^{10}- 20^{2} \big):9 = \big( 5^{14 - 10}- 20^{2} \big):9 =$

$\bf \big( 625- 400 \big):9 = 225: 9 =$

$\bf 25 = \purple{5^{2} \implies \: patrat \: perfect}$