Subjects algebra

Power One Fifth 71470B

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1. The problem is to understand the expression $x^{\frac{1}{5}}$. 2. The expression $x^{\frac{1}{5}}$ means the fifth root of $x$. 3. The general rule is that $x^{\frac{m}{n}} = \sqrt[n]{x^m}$, so here $x^{\frac{1}{5}} = \sqrt[5]{x}$. 4. This means you are looking for a number which, when raised to the power 5, gives $x$. 5. For example, if $x = 32$, then $x^{\frac{1}{5}} = \sqrt[5]{32} = 2$ because $2^5 = 32$. 6. So yes, $x^{\frac{1}{5}}$ is the fifth root of $x$, or $x$ to the power of one-fifth.