Question 197347
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In the first place, this is not an 'exponential' expression.  It is a rational polynomial expression.  An exponential expression has one or more variables as exponents, such as *[tex \LARGE a^x]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \frac{(x^{-3}y^2)^2}{(x^4y^3)^3}] 


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ (a^m)^n = a^{mn}], so:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \frac{(x^{-3}y^2)^2}{(x^4y^3)^3}=\frac{x^{-6}y^4}{x^{12}y^9}] 


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \frac{a^m}{a^n}=a^{m-n}] and


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ a^{-n}=\frac{1}{a^n}], so:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \frac{x^{-6}y^4}{x^{12}y^9} = \frac{1}{x^{18}y^5}] 



John
*[tex \LARGE e^{i\pi} + 1 = 0]
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