ДАЮ 50 БАЛЛОВ СРОЧНО. Created by gora234. matematika-ru

ДАЮ 50 БАЛЛОВ СРОЧНО...

gora234 @gora234

July 2022 1 9 Report

ДАЮ 50 БАЛЛОВ СРОЧНО

Answers & Comments

elkakrav

Ответ:

1)4 2)32 3)27

Пошаговое объяснение:

$2^{2-3\sqrt{3} }*8^{\sqrt{3} } = 2^{2-3\sqrt{3} }*(2^{3)^{\sqrt{3}} }=2^{2-3\sqrt{3} }*2^{3\sqrt{3} } =2^{2-3\sqrt{3} +3\sqrt{3}}=2^{2} =4$

$\frac{8^{3+\sqrt{5} } }{2^{2+\sqrt{5} }*4^{1+\sqrt{5} } } =\frac{2^{9+3\sqrt{5} } }{2^{2+\sqrt{5} }*2^{2+2\sqrt{5} } }=\frac{2^{9+3\sqrt{5} } }{2^{2+\sqrt{5} +2+2\sqrt{5} }} }=\frac{2^{9+3\sqrt{5} } }{2^{4+3\sqrt{5}}}=2^{9+3\sqrt{5}-4-3\sqrt{5}}=2^{5} =32$

$9^{3+\sqrt{2} } *3^{1-\sqrt{2} } *3^{-4-\sqrt{2} } =3^{6+2\sqrt{2}} *3^{1-\sqrt{2}-4-\sqrt{2} } =3^{6+2\sqrt{2}-3-2\sqrt{2} } =3^{3} = 27$

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