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

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

Guest Jun 9, 2015

#1
+19206
+8

(6x^-2y^4)/2x  ?

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

heureka  Jun 10, 2015
Sort:

#1
+19206
+8

(6x^-2y^4)/2x  ?

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

heureka  Jun 10, 2015
#2
+92193
+5

Thanks Heureka,

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

Melody  Jun 10, 2015

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