☺ Salut ☺
☞ Formules :
•[tex]\:{a}^{m}\times{a}^{n} = {a}^{m + n}[/tex]
•[tex]\:{a}^{m}\times{a}^{n} \times{a}^{o}= {a}^{m + n + o}[/tex]
•[tex]\:\dfrac{{a}^{m}}{{a}^{n}} = {a}^{m - n}[/tex]
•[tex]\:\dfrac{{ab}^{m}}{{b}^{m}} = \dfrac{{a}^{m} \times{b}^{m}}{{b}^{m}} = {a}^{m}[/tex]
•[tex]\:{({a}^{m})}^{n} = {a}^{m\times n}[/tex]
❑ Écrivons sous forme d'une puissance :
• [tex]\:\boxed{\boxed{{10}^{5}\times{10}^{4} = {10}^{(5 + 4)} = {10}^{9}}}[/tex]
• [tex]\:\boxed{\boxed{{2}^{8}\times{2}^{7} = {2}^{(8 + 7)} = {2}^{15}}}[/tex]
• [tex]\:\boxed{\boxed{{3}^{4}\times{3}^{5}\times{3}^{2} = {3}^{(5 + 4 + 2)} = {3}^{11}}}[/tex]
• [tex]\:\boxed{\boxed{\dfrac{{3}^{15}}{{3}^{5}} = {3}^{15 - 5} = {3}^{10}}}[/tex]
• [tex]\:\boxed{\boxed{ \dfrac{{16}^{4}}{{5}^{4}} = \dfrac{{(3.2\times 5)}^{4}}{{5}^{4}} = \dfrac{{(3.2)}^{4} \times {5}^{4}}{{5}^{4}} = {(3.2)}^{4}}}[/tex]
• [tex]\:\boxed{\boxed{{({4}^{3})}^{6} = {4}^{(3\times6)} = {4}^{18}}}[/tex]
