Negative Exponents


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Free online lessons on negative exponents - how to rewrite negative exponents.

Negative exponents are a mathematical concept used to represent the reciprocal of a number raised to a positive exponent. They are an important part of algebra and are used to simplify expressions and solve equations.




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Definition of Negative Exponents
For any non-zero number a and a positive integer n, a negative exponent is defined as:

a-n = 1/an

This means that a negative exponent indicates the reciprocal of the base raised to the positive exponent.

Take note:
A negative exponent does not make the value negative. It indicates a reciprocal.

How to rewrite negative exponents?
When the exponent of a number is negative we can rewrite the number with a positive exponent using the negative exponent rule.
The following diagram shows how to rewrite a number with a negative exponent. Scroll down the page for more examples and solutions on negative exponents.

Negative Exponent

Exponent Worksheets
Practice your skills with the following exponent worksheets:
Printable & Online Exponents Worksheets

Example:
Rewrite the following with positive exponents:

Text Box: a)  		b)    c)  		d)     e)   	f)

Solution:
negative exponents

Examples of negative exponents




Negative exponents
Learn how to solve negative exponents in these step by step examples

Exponent Rules, Negative Exponents



Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
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