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how does 3 over 3 to the third power equal one over nine?

 Jan 12, 2016

Best Answer 

 #1
avatar+130511 
+10

3 / 3^3  =   [3] / [ 3 * 3 * 3]   =  one 3 cancels on top/bottom  =   1 / [ 3 * 3]    = 1 / 9

 

 

cool cool cool

 Jan 12, 2016
 #1
avatar+130511 
+10
Best Answer

3 / 3^3  =   [3] / [ 3 * 3 * 3]   =  one 3 cancels on top/bottom  =   1 / [ 3 * 3]    = 1 / 9

 

 

cool cool cool

CPhill Jan 12, 2016
 #2
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Thank you

 Jan 12, 2016
 #3
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Wait... Why would there still be a one on top?

 Jan 12, 2016
 #4
avatar+130511 
0

Because, we can always multiply either the top/bottom of any fraction by 1 without changing it's value....so.......3   =  1 * 3      ......so.......

 

[1 * 3] / [ 3 * 3 * 3]   =  [1 ] / [3 * 3]  =  1/9

 

 

cool cool cool

 Jan 12, 2016

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