Question

How do you simplify `\frac { x ^ { 3} y ^ { 10} } { x ^ { 3} y ^ { 4} }`?

Answer 1

See a solution process below:

Explanation:

First, rewrite the expression as:

`(x^3/x^3)(y^10/y^4) => 1(y^10/y^4) => y^10/y^4`

Now, use this rule for exponents to complete the simplification:

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

`y^color(red)(10)/y^color(blue)(4) => y^(color(red)(10)-color(blue)(4)) => y^6`