Question

How do you simplify `(7w^11z^6)/(14w^3z^3)`?

Answer 1

See a solution process below:

Explanation:

First, rewrite the expression as:

`(7/14)(w^11/w^3)(z^6/z^3) => 1/2(w^11/w^3)(z^6/z^3)`

Now, use this rule of exponents to simplify the `w` and `z` terms:

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

`1/2(w^color(red)(11)/w^color(blue)(3))(z^color(red)(6)/z^color(blue)(3)) => 1/2(w^(color(red)(11)-color(blue)(3)))(z^(color(red)(6)-color(blue)(3))) =>`

`(w^8z^3)/2`