Artificial intelligent assistant

How to decompose an exponent? If i have an function: $$f(x) = x^a$$ after, i solved an equation: $$1/x^{an}$$ so, how i can decompose the exponent to get the equation based on my previous function $$f(x) * x^n$$ this is a error, because $$x^a *x^n = x^{a+n}$$ But i need, $$x^{an}$$ finally, i want decompose the exponent of my solved equation, to work with the equation based on the function $$f(x) = x^a$$

$$ \frac{1}{x^{an}} = \frac{1}{(x^a)^n} = \frac{1}{f(x)^n}. $$

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