# How do you simplify (-10)^5/ (-10)^9 leaving only positive exponents?

Mar 15, 2018

$\frac{1}{10000} = \frac{1}{10} ^ 4$

#### Explanation:

Expression = (-10)^5/((-10)^9

$= {\left(- 10\right)}^{5 - 9}$

$= {\left(- 10\right)}^{- 4}$

$= \frac{1}{- 10} ^ 4 = \frac{1}{10000} = \frac{1}{10} ^ 4$

Mar 15, 2018

$\frac{1}{\text{10^4}}$

#### Explanation:

NOTE THE NEGATIVES DO NOT CANCEL OUT. I'M WRONG.
${10}^{5} / \text{10^9}$

Now you just subtract the larger degree from the smaller degree
Larger Degree is: ${10}^{9}$
Smaller Degree is: ${10}^{5}$

So $9 - 5 = 4$

Giving us
${10}^{0} / \text{10^4}$

And anything to the '0' power gives us 1.

$\frac{1}{\text{10^4}}$ in positive exponents.