Ответ:
[tex]5 * 81^{\frac{1}{2} } = 5 * \sqrt{81} = 5 * 9 = 45\\ \\64^-\frac{1}{3} = \frac{1}{\sqrt[3]{64} }} = \frac{1}{4} \\ \\ 32^{0,4} = 32^{2/5} = \sqrt[5]{1024} = 4\\ \\ (11\frac{1}{9})^{2,5} = (\frac{100}{9})^{5/2} = \sqrt[2]{\frac{100}{9} }^5 \\= \sqrt{\frac{10^{10}}{81^2 * 9} } = \frac{10^5}{81 * 3} = \frac{100000}{243}[/tex]
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Ответ:
[tex]5 * 81^{\frac{1}{2} } = 5 * \sqrt{81} = 5 * 9 = 45\\ \\64^-\frac{1}{3} = \frac{1}{\sqrt[3]{64} }} = \frac{1}{4} \\ \\ 32^{0,4} = 32^{2/5} = \sqrt[5]{1024} = 4\\ \\ (11\frac{1}{9})^{2,5} = (\frac{100}{9})^{5/2} = \sqrt[2]{\frac{100}{9} }^5 \\= \sqrt{\frac{10^{10}}{81^2 * 9} } = \frac{10^5}{81 * 3} = \frac{100000}{243}[/tex]