$\text{a)}{36}^{\frac{1}{2}}=\sqrt{36}=6$  

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$\text{b)}10{000}^{\frac{1}{2}}=\sqrt{10000}=100$  

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$\text{c)}{\left(\frac{25}{144}\right)}^{\frac{1}{2}}=\sqrt{\frac{25}{144}}=\frac{5}{12}$  

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$\text{d)}{\left(5\frac{1}{16}\right)}^{\frac{1}{2}}={\left(\frac{81}{16}\right)}^{\frac{1}{2}}=\sqrt{\frac{81}{16}}=\frac{9}{4}$  

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$\text{e)}{\left(\frac{1}{64}\right)}^{\frac{1}{3}}=\sqrt[3]{\frac{1}{64}}=\frac{1}{4}$  

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$\text{f)}{0,001}^{\frac{1}{3}}=\sqrt[3]{0,001}=0,1$  

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$\text{g)}{\left(15\frac{5}{8}\right)}^{\frac{1}{3}}={\left(\frac{125}{8}\right)}^{\frac{1}{3}}=\sqrt[3]{\frac{125}{8}}=\frac{5}{2}$  

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$\text{h)}{0,0256}^{\frac{1}{4}}=\sqrt[4]{0,0256}=0,4$