SOLUTION: Please help me solve. Thank You 3 sqrt 512x^8/y^3

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Question 131755: Please help me solve.
Thank You
3 sqrt 512x^8/y^3

Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
You probably mean:root%283%2C512x%5E8%2Fy%5E3%29

First, you have to know and recognize the first few perfect cubes:
2^3=8
3^3=27
4^3=64
5^3=125
6^3=216
7^3=343
8^3=512

Secondly, you must know that perfect powers with exponents must be multiples of 3: x^3, x^6, x^9, etc,

Now, root%283%2C512x%5E8%2Fy%5E3%29
root%283%2C512x%5E6%2Fy%5E3%29%2Aroot%283%2Cx%5E2%29
%288x%5E2%2Fy%29%2Aroot%283%2Cx%5E2%29

See my website by clicking on my tutor name "rapaljer" anywhere in algebra.com. On the home page of my website click on the first link which is "Basic and Intermediate Algebra: One Step at a Time." Look for Chapter 5 in Basic Algebra, an entire chapter that is written to be understood by folks who have trouble with math. See also my MATH IN LIVING COLOR PAGES.

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