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Power of Fractions

All of these are used in our day-to-day life. We use these problems to calculate certain things, like the distance of Mars from the planet Earth, calculated in light-years.

An exponent is a number that is raised to a base. But what do we mean by an Exponent?

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Let us just refresh our memory on the rules of exponents and importantly focus on the ‘Fraction rule’ before we go further.

What are the Rules for Exponents?

An Exponent is a short version of expressing how many times a number is supposed to be multiplied by itself.

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Solving Fractions with Exponents

Just like integers with exponent powers, we solve fractions with exponent powers.

Now, Let’s take a look at this example:

=  x  x  =

How to solve this one?

The numerators get multiplied by itself and the denominators get multiplied by itself.

=  =

Examples

•  =  x  x
•  =  x  x  x  =

Solving Fraction Exponents

as an exponent means square root.

as an exponent means cube root.

as an exponent means fourth root and so on.

=    = 3

=    = 7

=    = 2

=  = 16

Check Point

Solve the following:

1.

2.

3.

4.

5.

1.

2.

3. 3

4. 32

5.

Gloria Mathew writes on math topics for K-12. A trained writer and communicator, she makes math accessible and understandable to students at all levels. Her ability to explain complex math concepts with easy to understand examples helps students master math. LinkedIn

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