Question

How do you simplify `(8x^10y^14)/(-2x^6y^7)`?

Answer 1

See the entire simplification process below:

Explanation:

First, divide the constants:

`(8x^10y^14)/(-2x^6y^7) = -(4x^10y^14)/(x^6y^7)`

Now, we can use this rule of exponents to complete the simplification:

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

`-(4x^color(red)(10)y^color(red)(14))/(x^color(blue)(6)y^color(blue)(7)) = -4x^(color(red)(10)-color(blue)(6))y^(color(red)(14)-color(blue)(7)) = -4x^4y^7`