Question

How do you simplify `p^5divp^2`?

Answer 1

See full simplification process below:

Explanation:

First, we rewrite this expression as:

`p^5/p^2`

Next we can use this rule of exponents to simplify:

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

Substituting gives:

`p^color(red)(5)/p^color(blue)(2) = p^(color(red)(5) - color(blue)(2)) = p^3`