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These are valid for all positive real numbers <i>a</i> and <i>b</i> and all real numbers <i>x</i>. Expressions involving fractions and roots can often be simplified using exponential notation because:
: <math>{1 \over a} = a^{-1}</math>
: <math>\sqrt[c]{a}^b = a^{
=== Exponential function and differential equations ===
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