Задача 54834 5^(2-sqrt(3)) : 5^(3-sqrt(3))...

5f8996282456ed05d805bd0a

22.10.2020 12:32:47

5^(2-sqrt(3)) : 5^(3-sqrt(3))

5f3ea7e3faf909182968ddd9

22.10.2020 13:53:19

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1.1
[m] a^{m}:a^{n}=a^{m-n}[/m]

[m] 5^{2-\sqrt{3}}:a^{3-\sqrt{3}}=5^{2-\sqrt{3}-(3-\sqrt{3})}=5^{2-\sqrt{3}-3+\sqrt{3})}=5^{-1}=\frac{1}{5}[/m]