Mathematics
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OpenStudy (anonymous):
Perform the indicated operation and simplify as much as possible: (2xy^4)^-2 divided by 3(x^4y)^-1
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OpenStudy (anikay):
I'll get on this one in a sec
OpenStudy (anonymous):
thanks!!
OpenStudy (anikay):
oh wonderful, division of negative exponents, so really, we're dividing the second by the first....
OpenStudy (anonymous):
okay
OpenStudy (anikay):
\[\frac{ 3x^43y }{(2xy^4)^2} \]
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OpenStudy (anikay):
\[\frac{3x^43y}{ 4x^2y^8 }\]
OpenStudy (anikay):
then common factors
OpenStudy (anikay):
\[\frac{ 3 }{ 4 } * \frac{ x^2 }{ y^4 }\] if I did my math right.
OpenStudy (anonymous):
wouldn't the 3 stay in the denominator\[3(x^4y)^{-1}={3 \over (x^4y)}\]
OpenStudy (anonymous):
so when you divide by this it is \[x^4y \over 3\]
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OpenStudy (anikay):
you sure? maybe I read the problem wrong?
OpenStudy (anonymous):
x^2 divided by 12y^7 is the answer but idk how to get it
OpenStudy (anonymous):
Is it (3x^4y)^-1 or 3(x^4y)^-1
OpenStudy (anikay):
then chme is right
OpenStudy (anonymous):
\[(2xy^4)^{-2} \over 3(x^4y)^{-1}\] is this the question?
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OpenStudy (anikay):
I did the work right, just messed up the 3
OpenStudy (anonymous):
\[\huge (x^a)^b=x^{ab}\]\[\huge \frac{ x^a }{ x^b }=x^{a-b}\]Things to memorize
OpenStudy (anikay):
^yes.... that's what I used right there
OpenStudy (anonymous):
chme yes that is the correct problem
OpenStudy (anonymous):
ChmE is right
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OpenStudy (anikay):
yuppers, got that
OpenStudy (anonymous):
chme come back!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
OpenStudy (anikay):
(x^4*3y)/3(2x*y^4)^2
OpenStudy (anonymous):
\[(2xy^4)^{-2} \over 3(x^4y)^{-1}\]\[\frac{ x^4y }{ 3(2xy^4)^2 }\]\[\frac{ x^4y }{ 3(4x^2y^8) }\]\[\frac{ x^4y }{ 12x^2y^8 }\]\[\frac{ x^2 }{ 12y^7 }\]^Final Answer^
OpenStudy (anikay):
correct
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OpenStudy (anikay):
medal
OpenStudy (anonymous):
yes thank you you are the best!!
OpenStudy (anonymous):
oh stop it