SOLUTION: Where is my mistake? This is the problem (where the image cut off, the power is 1/3): {{{ ( (root( 5, x ) * x^2 * x^(1/3) ) - ( root( 15, x^2 )^2 * x ) ) / root( 15, x^19 ) }}}

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Question 903885: Where is my mistake?
This is the problem (where the image cut off, the power is 1/3):

This is my solution:

Power = 38/15..............Power = -15/15


The right solution is
Thanks!

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
You're very close. In the numerator, you are really dividing all that mess by

Put another way, you are multiplying the whole numerator by

So you *should* have

[ Numerator ]*( x^(-19/15) )

Meaning that you distribute x^(-19/15) to the two terms inside the numerator. You only multiplied by ,

but forgot to multiply the first term by x^(-19/15).

If you do that step, you will get the answer

Hope that helps. If not, then let me know.

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