Mathematics
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OpenStudy (anonymous):
-(27/64y to the sixth power) to the 2/3 power
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OpenStudy (blurbendy):
(-(27/64 y)^6)^2/3
??
OpenStudy (anonymous):
only one set of parentheses
OpenStudy (blurbendy):
-(26/64y)^6 <--- then ALL of that to the 2/3 power, or ^6^2/3
OpenStudy (anonymous):
all of that to the 2/3 power
its 27 not 26
OpenStudy (blurbendy):
tomatoes, tamatoes, hold on.
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OpenStudy (blurbendy):
you want to solve for y, or just simplify?
OpenStudy (anonymous):
i keep getting it wrong
OpenStudy (anonymous):
simplify
OpenStudy (blurbendy):
Well you can rewrite this as
\[1/3(-(27y/64)^6)^2\]
OpenStudy (anonymous):
ok
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OpenStudy (anonymous):
only 64y has the sixth power by the way. sorry
OpenStudy (blurbendy):
\[-(27/64y^6)^2/3\]
OpenStudy (anonymous):
the question is:Simplify the expression. The variable represents a positive real number.
OpenStudy (blurbendy):
^2/3
OpenStudy (blurbendy):
like that?
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OpenStudy (anonymous):
yup
OpenStudy (blurbendy):
then you can rewrite that as
-1/3((27)/(64y^6))^2
= -243 / 4096y^12
OpenStudy (anonymous):
that was wrong, i think they are looking for a radical
OpenStudy (blurbendy):
bump your question, because that's how i would have simplified it.
OpenStudy (blurbendy):
okay, maybe this what they mean if they are looking for a radical
-(27/64y^6)^3 = \[- \sqrt[3]{729 / 4096y^(12)} = -9/4096y^4\]19683 / 262144y^10
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OpenStudy (blurbendy):
oops, ignore the last part with 19683
OpenStudy (blurbendy):
by the way, are you sure you entered the first answer correctly? because that should be right.