Simplifying Expressions That Contain Negative
Exponents
When we write an exponential expression in simplified form, we typically
use only positive exponents.
Example 1
Simplify and write using only positive exponents: (3^{1}r^{4}s^{5}t)^{2}
Solution
Use the Power of a Product Property. 
= (3^{1})^{2}(r^{4})^{2}(s^{5})^{2}(t)^{2} 
Use the Power of a Power Property.

= 3^{2} Â· r^{8}
Â· s^{10} Â· t^{2} 
Rewrite using only positive exponents.


Simplify. 

So,
Note:
Thereâ€™s more than one way to simplify the
original expression.
For example, you
could begin like this:
Then use the Power of a Product Property.
Example 2
Simplify and write using only positive exponents:
Solution
