SOLUTION: cube root(16x^15y^7z^11) Thank you for helping me solve this.

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Question 206178This question is from textbook Intermediate Algebra
: cube root(16x^15y^7z^11) Thank you for helping me solve this. This question is from textbook Intermediate Algebra

Answer by Marth(57) About Me  (Show Source):
You can put this solution on YOUR website!
%2816x%5E15y%5E7z%5E11%29%5E%281%2F3%29
=%282%5E4%2Ax%5E15%2Ay%5E7%2Az%5E11%29%5E%281%2F3%29
Pull out the greatest factor of each that has an exponent divisible by 3.
=%282%5E3%2A2%5E1%2Ax%5E15%2Ay%5E6%2Ay%5E1%2Az%5E9%2Az%5E2%29%5E%281%2F3%29
For each factor that has an exponent divisible by 3, there is a perfect cube root of that base with the exponent divided by 3.
=2%2Ax%5E5%2Ay%5E2%2Az%5E3%2A%282%2Ay%2Az%5E2%29%5E%281%2F3%29%29