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Section 1.2 : Rational Exponents

8. Simplify the following expression and write the answer with only positive exponents.

\[{x^{\frac{1}{4}}}\,{x^{ - \frac{1}{5}}}\] Show Solution

There isn’t really a lot to do here other than to use the exponent properties from the previous section to do the simplification.

\[{x^{\frac{1}{4}}}\,{x^{ - \frac{1}{5}}} = {x^{\frac{1}{4} - \frac{1}{5}}}\, = \require{bbox} \bbox[2pt,border:1px solid black]{{{x^{\frac{1}{{20}}}}}}\]