Question

How do you simplify `3v^-1` and write it using only positive exponents?

Answer 1

`3/v`

Explanation:

You only need to remember the rule for negative exponents: you can convert negative exponents to positive ones just by inverting the fraction!

So, if `k` is negative, you have `x^k = (1/x)^{|k|]`

in your case, `v^{-1}` means `1/v^1`, so simply `1/v`

Answer 2

`3/v`

Explanation:

Using the `color(blue)"law of exponents"`

`color(orange)"Reminder " color(red)(bar(ul(|color(white)(a/a)color(black)(a^-m=1/a^m)color(white)(a/a)|)))`

`rArr3v^-1=3xx1/v^1=3/v`