Which of the following shows
the correct steps to find the value of 8 to the power of 1 over 3?
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OpenStudy (anonymous):
take the cubed root of eight
OpenStudy (anonymous):
what do you mean?
OpenStudy (anonymous):
is there anyway you can show me?
OpenStudy (anonymous):
\[\sqrt[3]{8}\]
OpenStudy (anonymous):
so thats all i have to figure that out?
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OpenStudy (anonymous):
the reciprocal of a cube root is a number raise to the power of three\[n^3=8\]
OpenStudy (anonymous):
what is that number when you multiply 3 times will give you an 8?
OpenStudy (anonymous):
2
OpenStudy (anonymous):
2*2*2=8
OpenStudy (anonymous):
that is what we mean by \[8^{\frac{1}{3}}\]
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OpenStudy (anonymous):
then what is the number?
OpenStudy (anonymous):
which number?
OpenStudy (anonymous):
you multiply 3 times?
OpenStudy (anonymous):
that is the cube root of 8...
OpenStudy (anonymous):
2?
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OpenStudy (anonymous):
yup that's correct.... \(\ddot\smile\)
OpenStudy (anonymous):
so thats the answer?
OpenStudy (anonymous):
yup... you solved your own problem...
OpenStudy (anonymous):
thats not one of my answer choices:S
OpenStudy (anonymous):
you are referring to the steps...?
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OpenStudy (anonymous):
idk y the computer put 8 but its 27 lol thats what i had to figure out
OpenStudy (anonymous):
what is the original problem that led you to this?
OpenStudy (anonymous):
Which of the following shows
the correct steps to find the value of 27 to the power of 1 over 3?
OpenStudy (anonymous):
it was supose to say that but it put 8 instead
OpenStudy (anonymous):
you mean \(\sqrt[3]{27}\)?
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OpenStudy (anonymous):
it is the same as \(n^3=27\), what is n?
OpenStudy (anonymous):
the same approach is applied...
OpenStudy (anonymous):
no\[27 \frac{ 1 }{ 3 }\]
OpenStudy (anonymous):
its saying find the value for that
OpenStudy (anonymous):
but when you say to the "power", it tells you how many times you have to multiply that number... and it is a fraction... you will just get the root of that number...
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OpenStudy (anonymous):
?????? idk math lol im sorry
OpenStudy (anonymous):
it is \(27^{\frac {1}{3}}\)=\(\sqrt[3]{27}\)...
OpenStudy (anonymous):
ohhhhhhhh
OpenStudy (anonymous):
simply 3 x 3 x 3 = 27
OpenStudy (anonymous):
sp all those things mean the same thing
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OpenStudy (anonymous):
yup...
OpenStudy (anonymous):
i get it now thank you for your help sorry for being dificult lol