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Answer ?! Help I don’t understand

Answer ?! Help I don’t understand-example-1
User Almer
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2 Answers

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The answer is B.

While taking the power of the square root, we look at the power of the number inside. If you don’t see any number, we accept that as 1.

Then, it takes 1 as the numerator and converts the power of the square root into the denominator.
User DrBeza
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~\hspace{7em}\textit{rational exponents} \\\\ a^{( n)/( m)} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-( n)/( m)} \implies \cfrac{1}{a^{( n)/( m)}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] ~\dotfill\\\\ {\Large \begin{array}{llll} \sqrt[8]{6}\implies \sqrt[8]{6^1}\implies 6^{(1)/(8)} \end{array}}

User Alois Kraus
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