# Bonjour svp c urgent en maths

Mathématiques

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Bonjour svp c urgent en maths

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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

$$a)\ (\dfrac{4}{5})^2=\dfrac{4^2}{5^2}\\\\\boxed{ (\dfrac{4}{5})^2=\dfrac{16}{25}}$$

$$b)\ (\dfrac{-3}{2})^4=\dfrac{(-3)^4}{2^4}\\\\\boxed{(\dfrac{-3}{2})^4=\dfrac{81}{16}}$$

$$c)\ (\dfrac{1}{3})^{-3}=\dfrac{1^{-3}}{3^{-3}}$$

$$(\dfrac{1}{3})^{-3}=\dfrac{1}{3^{-3}}$$

$$(\dfrac{1}{3})^{-3}=3^3$$

$$\boxed{(\dfrac{1}{3})^{-3}=27}$$