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Mathematics
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OpenStudy (aripotta):
Simplify...
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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: \[\sqrt[x]{a^y} = a^\frac{ y }{ x }\]
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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
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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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