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

Oct 5, 2016

$\frac{3}{v}$

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 ${x}^{k} = {\left(\frac{1}{x}\right)}^{| k |}$

in your case, ${v}^{- 1}$ means $\frac{1}{v} ^ 1$, so simply $\frac{1}{v}$

Oct 5, 2016

$\frac{3}{v}$

Explanation:

Using the $\textcolor{b l u e}{\text{law of exponents}}$

$\textcolor{\mathmr{and} a n \ge}{\text{Reminder }} \textcolor{red}{\overline{\underline{| \textcolor{w h i t e}{\frac{a}{a}} \textcolor{b l a c k}{{a}^{-} m = \frac{1}{a} ^ m} \textcolor{w h i t e}{\frac{a}{a}} |}}}$

$\Rightarrow 3 {v}^{-} 1 = 3 \times \frac{1}{v} ^ 1 = \frac{3}{v}$