Eliseslife
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# Bonjour svp c urgent en maths

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sionathomas

Bonjour BeautyLina Exercice 5 $a)\ A=\dfrac{3\times3\times3}{5\times5\times5\times5}$ $A=\dfrac{3^3}{5^4}$ $\boxed{A=3^3\times5^{-4}}$ $b)\ B=\dfrac{16}{25\times49}\\\\$ $B=\dfrac{4^2}{5^2\times7^2}$ $\boxed{B=4^2\times5^{-2}\times7^{-2}}$ Exercice 6 $a)\ 5^{-15}\times5^{-22}=5^{-15-22}\\\\\boxed{5^{-15}\times5^{-22}=5^{-37}}$ $b)\ (-3)^{41}\times(-5)^{-41}=[(-3)\times(-5)]^{41}\\\\\boxed{(-3)^{41}\times(-5)^{-41}=15^{41}}$ $c)\ 8^4\times8^{-14}=8^{4-14}\\\\\boxed{8^4\times8^{-14}=8^{-10}}$ $d)\ \dfrac{3^{-40}}{3^{-12}}=3^{-40-(-12)}$ $\dfrac{3^{-40}}{3^{-12}}=3^{-40+12}$ $\boxed{\dfrac{3^{-40}}{3^{-12}}=3^{-28}}$ $e)\ \boxed{\dfrac{5^8}{7^8}=(\dfrac{5}{7})^8}$ $f)\ ((-5)^{-12})^5=(-5)^{-12\times5}\\\\((-5)^{-12})^5=(-5)^{-60}$ $\boxed{((-5)^{-12})^5=5^{-60}}$ Exercice 7 $a)\ (\dfrac{4}{5})^2=\dfrac{4^2}{5^2}\\\\\boxed{ (\dfrac{4}{5})^2=\dfrac{16}{25}}$ $b)\ (\dfrac{-3}{2})^4=\dfrac{(-3)^4}{2^4}\\\\\boxed{(\dfrac{-3}{2})^4=\dfrac{81}{16}}$ $c)\ (\dfrac{1}{3})^{-3}=\dfrac{1^{-3}}{3^{-3}}$ $(\dfrac{1}{3})^{-3}=\dfrac{1}{3^{-3}}$ $(\dfrac{1}{3})^{-3}=3^3$ $\boxed{(\dfrac{1}{3})^{-3}=27}$

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