Negative Exponents
What is meant by Negative Exponents?
Negative exponents are nothing but the exponents value in a negative number. It represents the reciprocal value. As a-1 is represented as 1/a. Negative exponents are used to solve complex algebraic expressions in exponents.
How to calculate Negative Exponents?
Negative exponents are first converted to normal exponents by using the negative exponent rule and then it is further simplified by using basic Laws of Exponents.
What is the Negative Exponents Rule?
The two basic negative exponent rules are,
- a-n = 1/an
- 1/a-n = an
What is 10 to the Power of -2?
The value of 10-2 can easily be found using negative exponents rules and its value is 1/102 = 1/100.
Do negative exponents result in Negative Numbers?
No, negative exponents may or may not result in negative numbers it depends on the base of the exponents. As (-2)-3 results in 1/(-2)3 = -1/8. Now (2)-3 is simplified as 1/(2)3 = 1/8.
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
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