Solution 1) Use this rule for exponents:
x^color(red)(a)/x^color(blue)(b) = x^(color(red)(a)-color(blue)(b))xaxb=xa−b
(e^color(red)(3)f^color(red)(9))/(e^color(blue)(7)f^color(blue)(3)) = e^(color(red)(3)-color(blue)(7))f^(color(red)(9)-color(blue)(3)) = e^-4f^6e3f9e7f3=e3−7f9−3=e−4f6
Solution 2) Use these rules for exponents if you do not want negative exponents:
x^color(red)(a)/x^color(blue)(b) = x^(color(red)(a)-color(blue)(b))xaxb=xa−b and x^color(red)(a)/x^color(blue)(b) = 1/x^(color(blue)(b)-color(red)(a))xaxb=1xb−a
(e^color(red)(3)f^color(red)(9))/(e^color(blue)(7)f^color(blue)(3)) = f^(color(red)(9)-color(blue)(3))/e^(color(blue)(7)-color(red)(3)) = f^6/e^4e3f9e7f3=f9−3e7−3=f6e4
