Ask your own question, for FREE!
Mathematics 13 Online
OpenStudy (anonymous):

Exponent question

OpenStudy (anonymous):

|dw:1422921447365:dw|

OpenStudy (danjs):

Recall \[\sqrt[n]{x} = x^{1/n}\]

OpenStudy (danjs):

Using that rule, you can rewrite the thing as... \[\frac{ 9^{1/4} *9^{1/2} }{ 9^{5/4} }\]

OpenStudy (danjs):

Now use the exponent rule... \[x^a*x^b = x^{a+b}\] and \[\frac{ 1 }{ x^a } = \frac{ x^{-a} }{ 1 }\]

OpenStudy (mindblast3r):

so what's the question exactly? you don't know how to solve this?

OpenStudy (anonymous):

so then it would be 9^3/4-9 ^5/4

OpenStudy (anonymous):

So 9^-1/2 Thank you so much c:

OpenStudy (danjs):

careful when you type in exponents, use parenthesis. 9^(3/4) for example

OpenStudy (danjs):

You are right so far. you can simplify more still

OpenStudy (danjs):

\[9^{-1/2}=\frac{ 1 }{ 9^{1/2} } = \frac{ 1 }{ \sqrt{9} } = \frac{ 1 }{ 3 }\]

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!