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(6x^-2y^4)/2x

 Jun 9, 2015

Best Answer 

 #1
avatar+20852 
+8

(6x^-2y^4)/2x  ?

$$\small{\text{$
\begin{array}{rcl}
\dfrac{ 6 x^{-2} y^4 }{ 2 x } \\\\
&=& \dfrac{ 6 }{ 2 }\cdot \dfrac{ x^{-2} }{ x } \cdot y^4\\\\
&=& 3 \cdot \dfrac{ 1 }{ x^{2}x } \cdot y^4\\\\
&=& 3 \cdot \dfrac{ 1 }{ x^{3} } \cdot y^4\\\\
&=& 3 \cdot \dfrac{ y^4 }{ x^{3} } \\\\
&=& \dfrac{ 3y^4 }{ x^{3} }
\end{array}
$}}$$

.
 Jun 10, 2015
 #1
avatar+20852 
+8
Best Answer

(6x^-2y^4)/2x  ?

$$\small{\text{$
\begin{array}{rcl}
\dfrac{ 6 x^{-2} y^4 }{ 2 x } \\\\
&=& \dfrac{ 6 }{ 2 }\cdot \dfrac{ x^{-2} }{ x } \cdot y^4\\\\
&=& 3 \cdot \dfrac{ 1 }{ x^{2}x } \cdot y^4\\\\
&=& 3 \cdot \dfrac{ 1 }{ x^{3} } \cdot y^4\\\\
&=& 3 \cdot \dfrac{ y^4 }{ x^{3} } \\\\
&=& \dfrac{ 3y^4 }{ x^{3} }
\end{array}
$}}$$

heureka Jun 10, 2015
 #2
avatar+95369 
+5

Thanks Heureka,

 

If Heureka answered the intended question ( and he probably did   )  the 2x should have been in brackets 

 Jun 10, 2015

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