hannalafave
simplify (x^3y^5z^0/x^2y^8)^2



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hannalafave
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\[\frac{ x^3y^5z^0 }{ x^2y^8 }^2\]

hannalafave
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()^2

mark_o.
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\[(x ^{3}y ^{5}z ^{0}/x ^{2}y ^{8})^{2}\]
simplify it by dividing term by term
like
x^3/x^2 =x^32=?
y^5/y^3=y^53=?
also what is z^0=?

hannalafave
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x^6

hannalafave
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y^15

mark_o.
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\[\frac{ x ^{a} }{ x ^{b} }=x ^{ab}\]

hannalafave
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\[\left(\begin{matrix}x^3y^5z^0 \\ x^2y^8\end{matrix}\right)^2\]

hannalafave
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thats the problem

hannalafave
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i'm new at this

mark_o.
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yeah later on you squared them after simplifying the terms

hannalafave
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oh

hannalafave
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i'm so lost with these

mark_o.
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but first simlipfying the division of powers are adding and subtracting on not multiplying .. :D

hannalafave
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so x^1y^3z^0

hannalafave
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\[\frac{ z }{ x^2y^6 }\]

mark_o.
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\[\frac{ y ^{c} }{ y ^{b} }=y ^{cb}\]

hannalafave
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look i dont understand

mark_o.
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\[\frac{ v ^{c} }{ y ^{b} }=y ^{c}*y ^{b}=y ^{cb}\]

hannalafave
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i get the x^1*2 y^3*2

mark_o.
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for example only
\[\frac{ y ^{5} }{ y ^{7} }=y ^{5}*y ^{7}=y ^{57}=y ^{12}\]

hannalafave
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oh

mark_o.
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when you move the denominator to the numerator the sign of its power is change

hannalafave
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ok

hannalafave
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\[\left(\begin{matrix}x^0 \\ x^1y^3\end{matrix}\right)^2\]

hannalafave
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thats what i got

hannalafave
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\[\left(\begin{matrix}z \\ x^1y^3\end{matrix}\right)^2\]

hannalafave
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that top is z

mark_o.
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hm the idea is to move all the denominator upward to the numerator first then do add or subtract

hannalafave
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so x^32y^58z^0

mark_o.
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yes correct and z^0=1 right?

hannalafave
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i guess

hannalafave
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so x^1y3z^1

mark_o.
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any number or letter raised to the power of zero is =1

hannalafave
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oh right i have been working on homework for the last 5 hours my mind is fried =)

mark_o.
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hmm what is
23=?
58=?

mark_o.
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your 58= 3 is correct :D

hannalafave
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5

mark_o.
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yesss :D

hannalafave
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yess =)

mark_o.
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so whats the answer now?

hannalafave
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so x^5y^3x^1

hannalafave
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than that times 2

hannalafave
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so x^5*2=10 y^3*2=6 x^1*2=2

hannalafave
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\[\left(\begin{matrix}z^2 \\ x^10y^6\end{matrix}\right)\]

mark_o.
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now that z^0=1
\[(x ^{5}y ^{3})^{2}=\]?

hannalafave
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x^10y^6

mark_o.
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\[(x ^{b})^{a}=x ^{ab}\]
multiply now the power here

hannalafave
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x^5*2

hannalafave
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=10

mark_o.
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yess correct do that to y also

hannalafave
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y^3*2=6

mark_o.
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yess but dont forget about the sign :D

hannalafave
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so it's z^2/x^10y^6

mark_o.
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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

hannalafave
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oh so it's 1/x^10y^6

mark_o.
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yesssssssssssss :D

hannalafave
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its right!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

hannalafave
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thanks

mark_o.
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YW have fun now and enjoy solving good luck ......... :D

hannalafave
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would u mind helping me with the other one i have on line

mark_o.
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ok yesss where is it? @hannalafave

hannalafave
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it did not work but i got one for u now 12a^33a^25a+10/4a+3

mark_o.
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ok the easy one to do for this one is by long division can you try that?

hannalafave
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yea can u go to link i sent u?

mark_o.
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ok