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Fractional Exponents

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How to evaluate fractional exponents?

In this lesson, we will consider xn, where n is a fraction and x is an integer.

Let us first consider fractional exponents of the form:

In general, we define:

Text Box:  		(the nth root of a)

A number x is the nth root of a number y if xn = y.

Example:

Evaluate the following:

Text Box: a)  			b)    c)  			d)

Solution:

Text Box: a)  = 3		b)    c)  		d)




We will now consider fractional exponents of the form:

In general, we define:

Example:

Evaluate the following:

Text Box: a)      b)

Solution:

Text Box: a) Method 1:        Method 2:      b)

The following video gives more examples of fractional exponents Evaluating Numbers Raised to Fractional Exponents

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