Mathematics
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OpenStudy (anonymous):
simplify (x^-3y^5z^0/x^2y^8)^2
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OpenStudy (anonymous):
\[\frac{ x^-3y^5z^0 }{ x^2y^8 }^2\]
OpenStudy (anonymous):
()^2
OpenStudy (anonymous):
\[(x ^{-3}y ^{5}z ^{0}/x ^{2}y ^{8})^{2}\]
simplify it by dividing term by term
like
x^-3/x^2 =x^-3-2=?
y^5/y^3=y^5-3=?
also what is z^0=?
OpenStudy (anonymous):
x^6
OpenStudy (anonymous):
y^-15
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OpenStudy (anonymous):
\[\frac{ x ^{a} }{ x ^{b} }=x ^{a-b}\]
OpenStudy (anonymous):
\[\left(\begin{matrix}x^-3y^5z^0 \\ x^2y^8\end{matrix}\right)^2\]
OpenStudy (anonymous):
thats the problem
OpenStudy (anonymous):
i'm new at this
OpenStudy (anonymous):
yeah later on you squared them after simplifying the terms
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OpenStudy (anonymous):
oh
OpenStudy (anonymous):
i'm so lost with these
OpenStudy (anonymous):
but first simlipfying the division of powers are adding and subtracting on not multiplying .. :D
OpenStudy (anonymous):
so x^1y^-3z^0
OpenStudy (anonymous):
\[\frac{ z }{ x^2y^6 }\]
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OpenStudy (anonymous):
\[\frac{ y ^{-c} }{ y ^{b} }=y ^{-c-b}\]
OpenStudy (anonymous):
look i dont understand
OpenStudy (anonymous):
\[\frac{ v ^{-c} }{ y ^{b} }=y ^{-c}*y ^{-b}=y ^{-c-b}\]
OpenStudy (anonymous):
i get the x^-1*2 y^-3*2
OpenStudy (anonymous):
for example only
\[\frac{ y ^{-5} }{ y ^{7} }=y ^{-5}*y ^{-7}=y ^{-5-7}=y ^{-12}\]
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OpenStudy (anonymous):
oh
OpenStudy (anonymous):
when you move the denominator to the numerator the sign of its power is change
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
\[\left(\begin{matrix}x^0 \\ x^1y^3\end{matrix}\right)^2\]
OpenStudy (anonymous):
thats what i got
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OpenStudy (anonymous):
\[\left(\begin{matrix}z \\ x^1y^3\end{matrix}\right)^2\]
OpenStudy (anonymous):
that top is z
OpenStudy (anonymous):
hm the idea is to move all the denominator upward to the numerator first then do add or subtract
OpenStudy (anonymous):
so x^-3-2y^5-8z^0
OpenStudy (anonymous):
yes correct and z^0=1 right?
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OpenStudy (anonymous):
i guess
OpenStudy (anonymous):
so x^-1y-3z^1
OpenStudy (anonymous):
any number or letter raised to the power of zero is =1
OpenStudy (anonymous):
oh right i have been working on homework for the last 5 hours my mind is fried =)
OpenStudy (anonymous):
hmm what is
-2-3=?
5-8=?
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OpenStudy (anonymous):
your 5-8= -3 is correct :D
OpenStudy (anonymous):
-5
OpenStudy (anonymous):
yesss :D
OpenStudy (anonymous):
yess =)
OpenStudy (anonymous):
so whats the answer now?
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OpenStudy (anonymous):
so x^-5y^-3x^1
OpenStudy (anonymous):
than that times 2
OpenStudy (anonymous):
so x^-5*2=-10 y^-3*2=-6 x^1*2=2
OpenStudy (anonymous):
\[\left(\begin{matrix}z^2 \\ x^10y^6\end{matrix}\right)\]
OpenStudy (anonymous):
now that z^0=1
\[(x ^{-5}y ^{-3})^{2}=\]?
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OpenStudy (anonymous):
x^-10y^-6
OpenStudy (anonymous):
\[(x ^{b})^{a}=x ^{ab}\]
multiply now the power here
OpenStudy (anonymous):
x^-5*2
OpenStudy (anonymous):
=10
OpenStudy (anonymous):
yess correct do that to y also
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OpenStudy (anonymous):
y^-3*2=-6
OpenStudy (anonymous):
yess but dont forget about the sign :D
OpenStudy (anonymous):
so it's z^2/x^10y^6
OpenStudy (anonymous):
hmm z is not supposed to be there any more since its value is 1 anything you multiply by 1 is itself like
ax1=a
OpenStudy (anonymous):
oh so it's 1/x^10y^6
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OpenStudy (anonymous):
yesssssssssssss :D
OpenStudy (anonymous):
its right!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
OpenStudy (anonymous):
thanks
OpenStudy (anonymous):
YW have fun now and enjoy solving good luck ......... :D
OpenStudy (anonymous):
would u mind helping me with the other one i have on line
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OpenStudy (anonymous):
ok yesss where is it? @hannalafave
OpenStudy (anonymous):
it did not work but i got one for u now 12a^3-3a^2-5a+10/4a+3
OpenStudy (anonymous):
ok the easy one to do for this one is by long division can you try that?
OpenStudy (anonymous):
yea can u go to link i sent u?
OpenStudy (anonymous):
ok