Question

Calculeaza:
25 la puterea 5 * 125 la puterea 6 - 625 la puterea 6 * 5 la puterea 4
Va rog! Dau coroana primului raspuns !

Answer 1

${5}^{10} \times {5}^{18} - {5}^{24} \times {5}^{4} = {5}^{28} - {5}^{28} = {5}^{28} \times (1 - 1) = {5}^{28} \times 0 = 0$

Answer 2

$25^{5} * 125^{6} - 625^{6} * 5^{4} = \\ \\ (5^{2}) ^{5} *( 5^{3} )^{6} -( 5^{4} )^{6} * 5^{4} = \\ \\ 5^{10} * 5^{18} - 5^{24} * 5^{4} = \\ \\ 5^{24} - 5^{24} =0$