- Calcul d'une puissance
Enoncé 
Calculer : $$\begin{array}{ll}
\mathbf{1.}\ \,\,{\left( { – 1} \right)^{2024}} + {\left( { – 1} \right)^{2025}} &\quad\mathbf{2.}\ \,\,{\left( {\dfrac{{ – 5}}{2}} \right)^{ – 3}}\\
\mathbf{3.}\ \,\,{\left( { – 10} \right)^{ – 2}} & \quad\mathbf{4.}\ \,\,{4^{ – 1}} \\
\mathbf{5.}\ \,\,{\left( { – 2024} \right)^0} &\quad\mathbf{6.}\ \,\,{\left( { – 2} \right)^3}\end{array}$$
Calculer : $$\begin{array}{ll}
\mathbf{1.}\ \,\,{\left( { – 1} \right)^{2024}} + {\left( { – 1} \right)^{2025}} &\quad\mathbf{2.}\ \,\,{\left( {\dfrac{{ – 5}}{2}} \right)^{ – 3}}\\
\mathbf{3.}\ \,\,{\left( { – 10} \right)^{ – 2}} & \quad\mathbf{4.}\ \,\,{4^{ – 1}} \\
\mathbf{5.}\ \,\,{\left( { – 2024} \right)^0} &\quad\mathbf{6.}\ \,\,{\left( { – 2} \right)^3}\end{array}$$
Enoncé
Simplifier les expressions suivantes avec $a \neq 0$, $b \neq 0$, $c \neq 0$.
$$\begin{array}{ll}
\mathbf{1.}\ \,\, {\left( {\dfrac{3}{4}} \right)^{ -7}} \times {\left( {\dfrac{4}{3}} \right)^{10}} &\quad\mathbf{2.}\ \,\, {2^7} \times {10^{ -17}} \times {5^7} \\
\mathbf{3.}\ \,\, {\left( {{a^4}} \right)^{ -2}} \times {\left( {{a^{ -3}}} \right)^{ -7}} & \quad\mathbf{4.}\ \,\, {a^5} \times {a^{13}} \times {a^{ – 7}} \\
\mathbf{5.}\ \,\, {\left( {{a^{ -3}} \times {b^2} \times {c^{ -5}}} \right)^3}{\left( {{{\left( {{a^4}} \right)}^{ -2}} \times {b^{ -3}}} \right)^{ -3}} &\quad\mathbf{6.}\ \,\, \dfrac{{{a^4}{b^{ -2}}a{b^{ -5}}}}{{{a^{ -3}}{b^2}{a^5}b}}\\
\mathbf{7.}\ \,\, \dfrac{{{8^5}}}{{{{100000}^3}}} &\quad
\end{array}$$
Simplifier les expressions suivantes avec $a \neq 0$, $b \neq 0$, $c \neq 0$.
$$\begin{array}{ll}
\mathbf{1.}\ \,\, {\left( {\dfrac{3}{4}} \right)^{ -7}} \times {\left( {\dfrac{4}{3}} \right)^{10}} &\quad\mathbf{2.}\ \,\, {2^7} \times {10^{ -17}} \times {5^7} \\
\mathbf{3.}\ \,\, {\left( {{a^4}} \right)^{ -2}} \times {\left( {{a^{ -3}}} \right)^{ -7}} & \quad\mathbf{4.}\ \,\, {a^5} \times {a^{13}} \times {a^{ – 7}} \\
\mathbf{5.}\ \,\, {\left( {{a^{ -3}} \times {b^2} \times {c^{ -5}}} \right)^3}{\left( {{{\left( {{a^4}} \right)}^{ -2}} \times {b^{ -3}}} \right)^{ -3}} &\quad\mathbf{6.}\ \,\, \dfrac{{{a^4}{b^{ -2}}a{b^{ -5}}}}{{{a^{ -3}}{b^2}{a^5}b}}\\
\mathbf{7.}\ \,\, \dfrac{{{8^5}}}{{{{100000}^3}}} &\quad
\end{array}$$
Enoncé
Donner l’écriture scientifique des nombres suivants.
$$\begin{array}{ll}
\mathbf{1.}\ \,\, A = 780000000 &\quad\mathbf{2.}\ \,\, B = 341000000 \\
\mathbf{3.}\ \,\, C = 2015 & \quad\mathbf{4.}\ \,\, D = 0,0000005 \\
\mathbf{5.}\ \,\, E = 0,00831 &\quad\mathbf{6.}\ \,\, F = 20000 \times 1000000\\
\mathbf{7.}\ \,\, G = 3000000 \times 600000000000 &\quad\mathbf{8.}\ \,\, H = 0,0000000013 \times 20000\\
\mathbf{9.}\ \,\, K = \dfrac{{{{500}^2}}}{{0,00002}} &
\end{array}$$
Donner l’écriture scientifique des nombres suivants.
$$\begin{array}{ll}
\mathbf{1.}\ \,\, A = 780000000 &\quad\mathbf{2.}\ \,\, B = 341000000 \\
\mathbf{3.}\ \,\, C = 2015 & \quad\mathbf{4.}\ \,\, D = 0,0000005 \\
\mathbf{5.}\ \,\, E = 0,00831 &\quad\mathbf{6.}\ \,\, F = 20000 \times 1000000\\
\mathbf{7.}\ \,\, G = 3000000 \times 600000000000 &\quad\mathbf{8.}\ \,\, H = 0,0000000013 \times 20000\\
\mathbf{9.}\ \,\, K = \dfrac{{{{500}^2}}}{{0,00002}} &
\end{array}$$