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What does x^2/3 mean? PLEASE EXPLAIN HOW you got your answer and what everything means (assume x=2).

 May 13, 2014

Best Answer 

 #1
avatar+130466 
+5

In the manner you have it written, we have... (x^2) / 3

This says to square x and then divide by three.  So we have

(2)^2 / 3  =  4 / 3    And that's your answer      ....However.......

If you meant this,  x^(2/3), we have something different

This says to "square" x and then take the cube root of that answer

So we have 2^2 = 4

And the cube root of 4 can be written as (4)^(1/3) ≈ 1.59

Note that this brings up an important point......the placement of parentheses matter !!!! 

Hope that helped you

 May 14, 2014
 #1
avatar+130466 
+5
Best Answer

In the manner you have it written, we have... (x^2) / 3

This says to square x and then divide by three.  So we have

(2)^2 / 3  =  4 / 3    And that's your answer      ....However.......

If you meant this,  x^(2/3), we have something different

This says to "square" x and then take the cube root of that answer

So we have 2^2 = 4

And the cube root of 4 can be written as (4)^(1/3) ≈ 1.59

Note that this brings up an important point......the placement of parentheses matter !!!! 

Hope that helped you

CPhill May 14, 2014

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