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:

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

$xy^4$

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