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How can i solve this exponent

How can i solve this exponent-example-1
User Damyan
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\frac{p^2n^4(p^(10)n^5)^{(2)/(5)}}{(p^(-8)n^3)p^(12)n^5} =  \frac{p^2n^4p^{10*  (2)/(5)}n^{5* (2)/(5)}}{(p^(-8+12)n^(3+5))} = (p^2n^4 p^4n^2)/(p^4n^8)= (p^6n^6)/(p^4n^8)= (p^2)/(n^2)

User Amatsukawa
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