Algebra/Arithmetic/Root Problems

 { $$25 ^ {\left ( \frac{1}{2} \right )}=\sqrt{25}=$${ 5_2 }
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{ $$27 ^ {\left ( \frac{1}{3} \right )}=\sqrt[3]{27}=$${ 3_2 }
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{ $$(648+648)^\frac{1}{4}+8=\sqrt[4]{648+648}+8=$${ 14_2 }
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{ $$512^\frac{2}{3}=(\sqrt[3]{512})^{2}=$${ 64_2 }
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