Negative Exponents are Fractions
As we already know, the negative exponent finds the reciprocal of the number and thus, we can express the negative exponent as the fractions.
This relation is expressed as, a-n = 1/an. Thus, it is evident that negative exponents are easily considered as fractions. This can be understood by the example.
Example: Write in fraction form 3-1 and 5-2
Solution:
As we know that we can easily express the negative exponent as a fraction thus,
- 3-1 = 1/31 = 1/3
- 5-2 = 1/52 = 1/25
Negative Exponents
Negative Exponents are the exponents with negative values. In other words, negative exponents are the reciprocal of the exponent with similar positive values, i.e. a-n (a negative exponent) can be understood as the reciprocal exponent as 1/an.
We can understand the concept of negative exponents by the following example, find the value of (1/2)-2 we can write this exponent as, (2/1)2 this can be further simplified as, 4/1 or 4.
Let us learn more about what are negative exponents, their examples with solutions, practice problems, and others in detail in this article.
Table of Content
- What are Negative Exponents?
- Negative Exponents Definition
- Representation of Negative Exponents
- Negative Exponent Formula
- Expressions with Negative Exponents
- Negative Exponent Rules
- Negative Exponents are Fractions
- Negative Fraction Exponents
- Multiplying Negative Exponents
- How to Solve Negative Exponents?
- Negative Exponents Examples with Solutions
- Negative Exponents Worksheet