Question

How do you simplify `5u^2v^-1` and write it using only positive exponents?

Answer 1

See full simplification below:

Explanation:

To write this expression using only positive exponents we will use this rule of exponents:

`x^color(red)(a) = 1/x^color(red)(-a)`

`5u^2v^color(red)(-1) -> (5u^2)/v^color(red)(- -1) -> (5u^2)/v^color(red)(1)`

Then to complete the simplification we can utilize this rule for exponents:

`a^color(red)(1) = a`

`(5u^2)/v^color(red)(1) -> (5u^2)/v`