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which expression represents the quotient of 8.5 X10^10 and 2.3 x 10^7 please work show so I can understand !! :D

 Apr 18, 2015

Best Answer 

 #1
avatar+130514 
+5

[8.5 x 10^10 ]  ÷  [2.3 x 10^7 ]

Notice that this is really the same as this :

[ 8.5 ÷ 2.3 ] x [ 10^10 ÷  10^7 ] = 

[3.6956521739130435] x [ 10^10 / 10^7 ]  

And we have the exponential property that says that, a^n / a^m   =  a^(n - m).....so

10^10 - 10^7  = 10^(10-7)  = 10^3   

So.....we finally have

3.6956521739130435 x 10^3

And that's it  !!!

 

  

 Apr 18, 2015
 #1
avatar+130514 
+5
Best Answer

[8.5 x 10^10 ]  ÷  [2.3 x 10^7 ]

Notice that this is really the same as this :

[ 8.5 ÷ 2.3 ] x [ 10^10 ÷  10^7 ] = 

[3.6956521739130435] x [ 10^10 / 10^7 ]  

And we have the exponential property that says that, a^n / a^m   =  a^(n - m).....so

10^10 - 10^7  = 10^(10-7)  = 10^3   

So.....we finally have

3.6956521739130435 x 10^3

And that's it  !!!

 

  

CPhill Apr 18, 2015

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