Salut, ma puteti ajuta si pe mine cu acest exercitiu, as aprecia mult! -------------------------------------------------------------------------------------------------- a) (3 supra 4) la puterea 100 x ( 2 supra 5 ) la puterea 200 x (25 supra 3) la puterea 100 Multumesc Anticipat.

[tex](\frac{3}{4}) ^{100} * (\frac{2}{5})^{200} * (\frac{25}{3})^{100}=\\ \\ (\frac{3}{4} )^{100} * [(\frac{2}{5})^2]^{100} * (\frac{25}{3})^{100}=\\ \\ ({\frac{3}{4}) ^{100} * (\frac{4}{25})^{100} * (\frac{25}{3})^{100}=1[/tex]

Succes!

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Boiustef Boiustef · Answer 2 · 2020-08-20T19:29:01+03:00

Boiustef Boiustef

20-08-2020

Răspuns:

Explicație pas cu pas:

[tex](\dfrac{3}{4})^{100}* (\dfrac{2}{5})^{200}*(\dfrac{25}{3})^{100}=(\dfrac{3}{4})^{100}* (\dfrac{2}{5})^{100+100}*(\dfrac{25}{3})^{100}=\\=(\dfrac{3}{4})^{100}* (\dfrac{2}{5})^{100}*(\dfrac{2}{5})^{100}*(\dfrac{25}{3})^{100}=\\=(\dfrac{3}{4}* \dfrac{2}{5}*\dfrac{2}{5}*\dfrac{25}{3})^{100}=(\dfrac{3}{4}* \dfrac{4}{25}*\dfrac{25}{3})^{100}=1^{100}=1[/tex]

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