Mathematics
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OpenStudy (anonymous):
Evaluate. fourth root of 9 multiplied by square root of 9 over the fourth root of 9 to the power of 5
5 to the power of negative 1 over 6
5 to the power of 3 over 2
9
92
11 years ago
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OpenStudy (anonymous):
@studygurl14
11 years ago
OpenStudy (anonymous):
Im so lost
11 years ago
OpenStudy (studygurl14):
This?
\(\huge\frac{\sqrt[4]{9}\sqrt{9}}{(\sqrt[4]{9})^5}\)
11 years ago
OpenStudy (anonymous):
Yes
11 years ago
OpenStudy (studygurl14):
\(\large\sqrt[4]{9}=9^{\frac{1}{4}}\)
And...
\(\large(\sqrt[4]{9})^5=9^{\frac{5}{4}}\)
11 years ago
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OpenStudy (studygurl14):
does that help?
11 years ago
OpenStudy (anonymous):
im still really confused now would i subtract the powers?
11 years ago
OpenStudy (anonymous):
@StudyGurl14
11 years ago
OpenStudy (studygurl14):
oh, and \(\large\sqrt{9}=9^{\frac{1}{2}}\)
11 years ago
OpenStudy (anonymous):
I think the answer is D
11 years ago
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OpenStudy (studygurl14):
So you're left with...
\(\huge\frac{9^{\frac{1}{4}}9^{\frac{1}{2}}}{9^{\frac{5}{4}}}\)
11 years ago
OpenStudy (anonymous):
nvm
11 years ago
OpenStudy (studygurl14):
simplfy that
11 years ago
OpenStudy (anonymous):
How?
11 years ago
OpenStudy (studygurl14):
Do this:
\(\huge 9^{\frac{1}{4}+\frac{1}{2}-\frac{5}{4}}\)
11 years ago
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OpenStudy (anonymous):
so the base will stay 9 and in the answers the base is always 9 it just copied it wrong.
and it would be 9 -1/-2
11 years ago
OpenStudy (anonymous):
as @StudyGurl14 explained 9^(1/4+1/2-5/4)=9^-2/4=9-1/2
11 years ago
OpenStudy (studygurl14):
It would be
\(\large 9^{-\frac{1}{2}}\)
11 years ago
OpenStudy (anonymous):
thats not an answer choice tho
11 years ago
OpenStudy (anonymous):
Oh yes it is thank you
11 years ago
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OpenStudy (studygurl14):
:)
11 years ago
OpenStudy (studygurl14):
can i have a medal now @Helppme6
11 years ago
OpenStudy (anonymous):
\[\frac{ 1 }{ \sqrt{9} }=\frac{ 1 }{ 3}\]
11 years ago