Réponse:
Bonjour
[tex] \frac{ {10}^{4} \times {7}^{ - 1} }{ {2}^{7} \times {7}^{ - 3} \times {5}^{7} } = \frac{ {(2 \times 5)}^{4} \times {7}^{ - 1} }{ {2}^{7} \times {7}^{ - 3} \times {5}^{7} } = \frac{ {2}^{4} \times {5}^{4} \times {7}^{ - 1} }{ {2}^{7} \times {7}^{ - 3} \times {5}^{7} } [/tex]
[tex] = \frac{ {2}^{4} }{ {2}^{7} } \: \times \frac{ {5}^{4} }{ {5}^{7} } \times \frac{ {7}^{ - 1} }{ {7}^{ - 3} } = {2}^{4 - 7} \times {5}^{4 - 7} \times {7}^{ - 1 + 3} [/tex]
[tex]= {2}^{ - 3} \times {5}^{ - 3} \times {7}^{2} = {(2 \times 5)}^{ - 3} \times 49 = 49 \times {10}^{ - 3} = 0.049[/tex]
