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# Which of the following is equal to the square root of the cube root of 5? 5 to the power of 1 over 3 5 to the power of 1 over 6 5 to the power of 2 over 3 5 to the power of 3 over 2

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Answer5 to the power of 1 over 6, or as an expression: ExplanationFirst we will express our statement as an algebraic expression:the square root of the cube root of 5 = Next, we are using the laws of radicals to simplify the expression:the Law of the radicals: it can be inferred from our expression n=2, m=3, and=5, so that allows us to replace the values:Now, to express the radical as exponent, we will use another law of the radicals:The law of the radicals: as before, we can infer for our expression that n=6 and a=5, so let's substitute the values:And in words:the square root of the cube root of 5 is equal to 5 to the power of 1 over 6