Question

Descompunerea lui 6³* 8² * 10³ * 12⁴ în produs de putere numere prime este:​

Answer 1

Răspuns:

$(2 \times 3) {}^{3} \times ( {2}^{3} ) {}^{2} \times {(5 \times 2)}^{3} \times {(3 \times {2}^{2} )}^{4} = 2 {}^{3} \times {3}^{3} \times {2}^{3 \times 2} \times {5}^{3} \times {2}^{3} \times {3}^{4} \times {2}^{2 \times 4} = 2 {}^{3} \times {3}^{3} \times {2}^{6} \times {5}^{3} \times {2}^{3} \times {3}^{4} \times {2}^{8} = {2}^{3} \times {2}^{6} \times {2}^{3} \times {2}^{8} \times {3}^{3} \times {3}^{4} \times {5}^{3} = {2}^{3 + 6 + 3 + 8} \times {3}^{3 + 4} \times {5}^{3} = {2}^{20} \times {3}^{7} \times {5}^{3}$