# How do you simplify 3/3^ -4 leaving only positive exponents?

Mar 28, 2016

I found ${3}^{5}$

#### Explanation:

We can use the property of exponents where you have:
${a}^{m} / {a}^{n} = {a}^{m - n}$
to get:
${3}^{1} / {3}^{-} 4 = {3}^{1 - \left(- 4\right)} = {3}^{5}$

Mar 28, 2016

$\frac{3}{3} ^ - 4 = \left(3\right) \left(^ 4\right) = {3}^{5} = 243$

#### Explanation:

In order to convert the negative exponent in the denominator to a positive integer simply move the term with the negative exponent to the numerator.

$\frac{3}{3} ^ - 4 = \left(3\right) \left({3}^{4}\right) = {3}^{5} = 243$