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Mathematics 12 Online
OpenStudy (aripotta):

Simplify...

OpenStudy (anonymous):

Wait its kinda hard to read....is -2/3 the exponent???

OpenStudy (abb0t):

\[27^{-\frac{ 2 }{ 3 }} = \frac{ 1 }{ \sqrt[3]{27^2} }\]

OpenStudy (abb0t):

magic? \[\sqrt{a}=a^\frac{ 1 }{ 2 }\] similarly: \[\sqrt[100]{a}= a^{100}\] and: \[a^{-1} = \frac{ 1 }{ a^1 }= \frac{ 1 }{ a }\]

OpenStudy (abb0t):

sorry, the second one should be: \[\sqrt[100]{a} = a^\frac{ 1 }{ 100 }\]

OpenStudy (abb0t):

to be fully clear: \[\sqrt[x]{a^y} = a^\frac{ y }{ x }\]

OpenStudy (mertsj):

Just remember: the bottom number is the root, the top number is the power. So what is the third root of 27?

OpenStudy (mertsj):

Yes. The top number is the power which is 2 so what is 3 to the second power?

OpenStudy (mertsj):

And there is your answer.

OpenStudy (mertsj):

I can't see very well. Is there a negative sign in front of the 2/3?

OpenStudy (mertsj):

If there it, it is 1/9

OpenStudy (aripotta):

mmk. thanks :)

OpenStudy (mertsj):

0k. Then it is 1/9. yw

OpenStudy (abb0t):

stepped out for a minute, sorry. but i see you got the answer. Good job.

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