Question

aratati ca 9 la puterea 15 × 49 la puterea 7 este p. p.​

Answer 1

Răspuns:

${9}^{15} \times {49}^{7} = ( {3}^{2} ) ^{15} \times ( { {7}^{2} })^{7} = {3}^{30} \times {7}^{14} = \\ = {3}^{15 \times 2} \times {7}^{7 \times 2} = ( {3}^{15} ) ^{2} \times ( {7}^{7} ) ^{2} = ( { {3}^{15} \times {7}^{7} })^{2} \: p.p$