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Mathematics 72 Online
OpenStudy (anonymous):

expression to rational exponent form and justify each step by identifying the properties of rational exponents used ... help please!!!! *** picture of equation in the comments ***

OpenStudy (anonymous):

|dw:1404669827709:dw|

OpenStudy (mathstudent55):

You mean this expression? |dw:1404670137331:dw|

OpenStudy (anonymous):

yes

OpenStudy (mathstudent55):

Also, what you are asked to do is to write the expression as x raised to a rational exponent?

OpenStudy (anonymous):

im asked to Simplify the given expression to rational exponent form and justify each step by identifying the properties of rational exponents use

OpenStudy (mathstudent55):

Ok. Here are some rules of exponents that we need. \(\large a^{-n} = \dfrac{1}{a^n} \) \(\large a^{\frac{m}{n}} = \sqrt[n]{a^m} = \left(\sqrt[n]{a}\right)^m\)

OpenStudy (mathstudent55):

Let's start with the denominator. We can use the second rule to write the root as a rational exponent. Try that and show what you get. Remember, we are only working n the denominator for now.

OpenStudy (anonymous):

|dw:1404670947245:dw|

OpenStudy (anonymous):

right?

OpenStudy (mathstudent55):

Great.

OpenStudy (mathstudent55):

Now we have this. We can reduce the exponent, right? |dw:1404670991383:dw|

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