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Example Questions
Example Question #501 : Mathematical Relationships And Basic Graphs
Express  as a fraction.
When an exponent is negative, we rewrite in this form in terms of a fraction:
Â
 is the base whileÂ
 is the exponent and it's going to be a postive number when written in a fraction.
Â
Example Question #31 : Negative Exponents
Evaluate .
When an exponent is negative, we rewrite in this form in terms of a fraction:
Â
 is the base whileÂ
 is the exponent and it's going to be a postive number when written in a fraction.
When an exponent is a decimal, we convert to a fraction.Â
Â
This is then written in radical form.Â
Â
 is the exponent from the numerator of the fraction,Â
 is the index from the denominator of the fraction andÂ
 is the base of the exponent.
Â
Example Question #31 : Exponents
Simplify .
When an exponent is negative, we rewrite in this form in terms of a fraction:
Â
 is the base whileÂ
 is the exponent and it's going to be a postive number when written in a fraction.
When an exponent is a fraction, we convert to radical form.Â
Â
 is the exponent from the numerator of the fraction,Â
 is the index from the denominator of the fraction andÂ
 is the base of the exponent.
Â
Example Question #31 : Exponents
Simplify:
When an exponent is negative, we express as such:
Â
 is the positive exponent, andÂ
 is the base.
.
Example Question #501 : Mathematical Relationships And Basic Graphs
Simplify:
When an exponent is negative, we express as such:
Â
 is the positive exponent, andÂ
 is the base.
Example Question #32 : Exponents
Simplify:
When an exponent is negative, we express as such:
Â
 is the positive exponent, andÂ
 is the base.
Example Question #501 : Mathematical Relationships And Basic Graphs
Simplify:
When an exponent is negative, we express as such:
Â
 is the positive exponent, andÂ
 is the base.
Â
Remember the negative sign is not part of the base value.Â
Example Question #501 : Mathematical Relationships And Basic Graphs
Evaluate:Â
In order to convert negative exponents, we will use the following formula:Â
Â
In this formula,  is the positive exponent andÂ
 is the base.Â
Example Question #39 : Understanding Exponents
Evaluate:
In order to convert negative exponents, we will use the following formula:Â
Â
In this formula,  is the positive exponent andÂ
 is the base.Â
Example Question #31 : Negative Exponents
Evaluate:Â
When exponents are negative, we can express them using the following relationship:
.
In this format,  represents the base andÂ
 represents the exponent. A negative exponent becomes positive when it is rewritten as a reciprocal.
Therefore:Â
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