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Rewrite xp−−√k
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using a rational expression.
show your work
To rewrite \( \frac{x}{\sqrt[k]{p}} \) using a rational expression, we can first rewrite the denominator as \( p^{\frac{1}{k}} \), since the nth root of a number can be represented as that number raised to the power of 1/n.
So, the expression becomes:
\[ \frac{x}{p^{\frac{1}{k}}} \]
Then, we can rewrite this as:
\[ x \cdot p^{-\frac{1}{k}} \]
Therefore, \( \frac{x}{\sqrt[k]{p}} \) can be expressed as \( x \cdot p^{-\frac{1}{k}} \).