74 lines
2.6 KiB
TeX
74 lines
2.6 KiB
TeX
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\documentclass[a5paper,12pt]{/media/documents/Cours/Prof/Enseignements/2016-2017/tools/style/classExo}
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\usepackage{/media/documents/Cours/Prof/Enseignements/2016-2017/theme}
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% Title Page
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\titre{Puissance - Exercices}
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% \seconde \premiereS \PSTMG \TSTMG
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\classe{Troisième}
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\date{Avril 2017}
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\pagestyle{empty}
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%\geometry{left=5mm,right=5mm, bottom= 5mm, top=5mm}
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\newcommand{\lexo}{%
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\begin{Exo}[Divisions]
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\begin{enumerate}
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\item Réécrire avec des multiplications puis mettre sous la forme $a^n$
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\vspace{-0.5cm}
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\begin{eqnarray*}
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\frac{2^5}{2^3} = \frac{\parbox{3cm}{\dotfill}}{\parbox{3cm}{\dotfill}} = 2^{\parbox{1cm}{\dotfill}} \\[0.5cm]
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\frac{10^4}{10^2} = \frac{\parbox{3cm}{\dotfill}}{\parbox{3cm}{\dotfill}} = 10^{\parbox{1cm}{\dotfill}} \\[0.5cm]
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\frac{3^4}{3^5} = \frac{\parbox{3cm}{\dotfill}}{\parbox{3cm}{\dotfill}} = 3^{\parbox{1cm}{\dotfill}}
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\end{eqnarray*}
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\begin{eqnarray*}
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\frac{2^4}{2^5} = \frac{\parbox{3cm}{\dotfill}}{\parbox{3cm}{\dotfill}} = 2^{\parbox{1cm}{\dotfill}} \\[0.5cm]
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\end{eqnarray*}
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\vspace{-1.5cm}
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\item Donner une idée pour compléter la formule suivante
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\begin{eqnarray*}
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\frac{a^n}{a^m} & = & a^{\parbox{1cm}{\dotfill}}
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\end{eqnarray*}
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\end{enumerate}
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\end{Exo}
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\begin{Exo}[Tout en même temps]
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Mettre les expressions suivantes sous la forme $a^n$ en passant la l'écriture avec les multiplications.
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\begin{multicols}{3}
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\begin{eqnarray*}
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\frac{3^5}{3^5} = \\
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\frac{5^2 \times 5^3}{5^2} = \\
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\frac{7^3}{ 7^2 \times 7} = \\
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\end{eqnarray*}
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\columnbreak
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\begin{eqnarray*}
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\frac{2^5 \times 2^7}{2^5} = \\
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\frac{2^7 \times 2^2}{2^9} = \\
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\frac{2^5 \times 2^{-2}}{ 2^4 \times 2^5} = \\
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\end{eqnarray*}
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\columnbreak
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\begin{eqnarray*}
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\frac{10^4 \times 10^8}{10^2} = \\
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\frac{10^{-8} \times 10^7}{10^{15}} = \\
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\frac{10^6}{ 10^3 \times 10^5} = \\
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\end{eqnarray*}
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\end{multicols}
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\end{Exo}
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}
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\begin{document}
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\lexo
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\end{document}
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%%% Local Variables:
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%%% mode: latex
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%%% TeX-master: "master"
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%%% End:
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