How do you simplify #(x^3y^7)/(x^2y^3)#?

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Answer 1 · 2018-03-08T19:52:07

See a solution process below:

Use this rule of exponents to simplify the expression:

#x^color(red)(a)/x^color(blue)(b) = x^(color(red)(a)-color(blue)(b))#

#x^color(red)(3)y^color(red)(7)/x^color(blue)(2)y^color(blue)(3) =>#

#x^(color(red)(3)-color(blue)(2))y^(color(red)(7)-color(blue)(3)) =>#

#x^color(red)(1)y^4#

Then use this rule of exponents to simplify the #x# term:

#a^color(red)(1) = a#

#xy^4#