Simplify 2 to the 5th over 3 squared all raised to the 4th power.
2 to the 20th over 3 to the 8th
2 to the 9th over 3 to the 8th
8 to the 5th over 12 to the 2nd
2 over 3 to the 2nd
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OpenStudy (anonymous):
Please help!!! ;)
OpenStudy (anonymous):
@freckles @phi @perl
OpenStudy (studygurl14):
\(\Large(\frac{2^5}{3^2})^4\)
First, find 2^5 and 2^2
OpenStudy (studygurl14):
3^2 I mean
OpenStudy (anonymous):
3 x 2?
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OpenStudy (anonymous):
@StudyGurl14 pls help is it multiplying??
OpenStudy (anonymous):
@tkhunny
OpenStudy (anonymous):
@perl @triciaal @ganeshie8 @Hero @phi
OpenStudy (anonymous):
2 times 5 = 10 and 3 times 2 = 6
OpenStudy (tkhunny):
\(\left(a^{b}\right)^c = a^{b*c}\)
Do that.
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OpenStudy (anonymous):
how?
OpenStudy (anonymous):
sorry but i dont know how @tkhunny
OpenStudy (anonymous):
@StudyGurl14 pls explain
OpenStudy (studygurl14):
3^2 = 3 x 3
OpenStudy (anonymous):
ohh
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OpenStudy (anonymous):
9
OpenStudy (studygurl14):
yeah.
OpenStudy (tkhunny):
Follow the pattern.
\(\left(\dfrac{2^{5}}{3^{2}}\right)^{4} = \dfrac{\left(2^{5}\right)^{4}}{\left(3^{2}\right)^{4}}\)
I'm pretty sure you can do that. Now the other part.
OpenStudy (anonymous):
ok what about the other one?
is it 2 x 6?
OpenStudy (anonymous):
studygirl
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OpenStudy (anonymous):
ugh tkhunny i dont! please its complicated
OpenStudy (tkhunny):
You should not ever see a '9' during the course of this problem.
OpenStudy (anonymous):
what about 6?
OpenStudy (anonymous):
is it 60/40?
OpenStudy (anonymous):
like do u multiply 2 and 5 then 3 and 2 and then both by 4?
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OpenStudy (anonymous):
ok start over. first you multiply what?
OpenStudy (anonymous):
@freckles
OpenStudy (anonymous):
@IrishBoy123
OpenStudy (anonymous):
is the final answer 0.66 to the 12th?
OpenStudy (tkhunny):
Use the rule.
\(\left(a^{b}\right)^{c} = a^{b*c}\) -- That's it. No great complication.
\(\left(2^{5}\right)^{4} = 2^{5*4} = 2^{20}\) -- No more. No less. Done.
You do the denominator.