Solution assignment 05 Rules for exponents

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Assignment 5

Simplify:

\displaystyle\frac{{a^x \sqrt {a^x } }}{{3a^{1 - x} }}

Solution

We move the a with exponent x to the numerator as much as possible:

{\displaystyle{1 \over 3}}a^{{\textstyle{5 \over 2}}x - 1}

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