Réponse:
propriété :
[tex]a ^{n} \times a ^{m} = a ^{n + m} \\ ( { {a}^{n} })^{m} = {a}^{n \times m} \\ \frac{ {a}^{n} }{ {a}^{m} } = {a}^{n - m} [/tex]
68)
[tex]a. \frac{ {10}^{7} \times {10}^{3} }{ {10}^{4} } = \frac{ {10}^{7 + 3} }{ {10}^{4} } = \frac{ {10}^{10} }{ {10}^{4} } = {10}^{10 - 4} = {10}^{6} [/tex]
[tex]b. \frac{ {10}^{9} \times {10}^{ - 2} }{ {10}^{5} \times {10}^{ - 1} } = \frac{ {10}^{9 + ( - 2)} }{ {10}^{5 + ( - 1)} } = \frac{ {10}^{7} }{ {10}^{4} } = {10}^{7 - 4} = {10}^{3} [/tex]
[tex]c. \frac{( {10}^{4}) ^{3} }{ {10}^{5} \times {10}^{3} } = \frac{ {10}^{4 \times 3} }{ {10}^{5 + 3} } = \frac{ {10}^{12} }{ {10}^{8} } = {10}^{12 - 8} = {10}^{4} [/tex]
[tex]d. \frac{ ({ {10}^{2} })^{6} }{ {10}^{ - 2} \times {10}^{ - 3} } = \frac{ {10}^{2 \times 6} }{ {10}^{( - 2) + ( - 3)} } = \frac{ {10}^{12} }{ {10}^{ - 5} } = {10}^{12 - ( - 5)} = {10}^{17} [/tex]
Et voilà j'espère t'avoir aidé bonne journée
