Question

How do you simplify `n^15/n^11` leaving only positive exponents?

Answer 1

`n^4`

Explanation:

Use the exponent law, `color(purple)b^color(red)m/color(purple)b^color(blue)n=color(purple)b^(color(red)m-color(blue)n)`, to simplify the expression.

Since the base of both powers is `n`, the expression simplifies to...

`n^(15-11)`

... which becomes...

`color(green)(|bar(ul(color(white)(a/a)n^4color(white)(a/a)|)))`