Question

scrie ca produs de puteri de factori primi numerele a) 15³ b)121⁴ c) 90² d) (4×5)³ e) (4×25)³
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Answer 1

Răspuns:

${15}^{3} = (3 \times 5)^{3} = {3}^{3} \times {5}^{3}$

${121}^{4} = ( {11}^{2} )^{4} = {11}^{2 \times 4} = {11}^{8}$

${90}^{2} = (2 \times {3}^{2} \times 5)^{2} = {2}^{2} \times {3}^{4} \times {5}^{2}$

$(4 \times 5)^{3} = ( {2}^{2} )^{2} \times {5}^{3} = {2}^{4} \times {5}^{3}$

$(4 \times 25)^{3} = (2^{2} )^{3} \times ( {5}^{2} )^{3} = {2}^{6} \times {5}^{6}$