How To Simplify Negative Exponents

Simplifying Fractions With Negative Exponents Lesson

To best understand this lesson, make sure that you have read and understand the following lessons:

Simplifying Negative Exponents
Simplifying Variables with Negative Exponents

This lesson volition explain how to simplify the negative exponents in problems like the following two.

and

The offset problem is merely a term with both negative and positive exponents.
As you may have noticed in one of the previous lessons, the simplest form of
the problem a^-ii is simply

The problem was simplified by just changing its exponent to the opposite sign (from negative to positive) and moving it to
the bottom of a fraction.

The next problem we are simplifying has both negative and positive exponents.
The variables with positive exponents are left alone while the variables
with negative exponents are moved to the bottom of the fraction.

The next problem is already a fraction. The summit and bottom both contain negative exponents. Since d^-iii on the bottom has a negative exponent, information technology is moved to the top of the fraction (numerator). Since the c^-three on the meridian of the fraction has a negative exponent, it is moved to the bottom of the fraction (denominator).

The problem and work is shown below.

The next problem is a fraction with a negative exponent on top, but only positive exponents on the lesser:

The x^-2 on top of the fraction bar is moved beneath it, and its
exponent is changed from negative two to positive two.
Since there is already xⁱⁱ on the bottom, they are multiplied together.
The number ane is left on the superlative of the fraction because, as you may recall,
when a term does not have an explicit coefficient, it has an implicit
coefficient of 1.