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5x cubed divided by 10x to the power of 7

 Oct 12, 2015

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 #1
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5x cubed divided by 10x to the power of 7

 

\(\begin{array}{rcl} \dfrac{(5x)^3}{(10x)^7} \\ &=&\dfrac{(5x)^3}{(2\cdot 5\cdot x)^7} \\ &=&\dfrac{(5x)^3}{2^7\cdot (5\cdot x)^7} \\ &=&\dfrac{1} {2^7\cdot (5x)^{7-3}} \\ &=&\dfrac{1} {2^7\cdot (5x)^{4}} \\ \dfrac{(5x)^3}{(10x)^7} &=&\dfrac{1} {2^7\cdot (5x)^{4}} \\ \end{array}\)

 

laugh

 Oct 12, 2015
 #1
avatar+26400 
+50
Best Answer

5x cubed divided by 10x to the power of 7

 

\(\begin{array}{rcl} \dfrac{(5x)^3}{(10x)^7} \\ &=&\dfrac{(5x)^3}{(2\cdot 5\cdot x)^7} \\ &=&\dfrac{(5x)^3}{2^7\cdot (5\cdot x)^7} \\ &=&\dfrac{1} {2^7\cdot (5x)^{7-3}} \\ &=&\dfrac{1} {2^7\cdot (5x)^{4}} \\ \dfrac{(5x)^3}{(10x)^7} &=&\dfrac{1} {2^7\cdot (5x)^{4}} \\ \end{array}\)

 

laugh

heureka Oct 12, 2015

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