SOLUTION: A very pleasant evening to you Math Solvers! I am encountering some difficulties about radicals, can you please help me. In my problems it is specified that you just need to simpli

Algebra ->  Radicals -> SOLUTION: A very pleasant evening to you Math Solvers! I am encountering some difficulties about radicals, can you please help me. In my problems it is specified that you just need to simpli      Log On


   

Question 120761: A very pleasant evening to you Math Solvers! I am encountering some difficulties about radicals, can you please help me. In my problems it is specified that you just need to simplify the following by reducing as much as possible, here it follows:
->cube root of 1000 x^6 y^5
Thank you very much!!!
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

Start with the given expression


Convert the expression from radical notation to exponent notation. Remember


Rewrite 1000 as 1000%5E1


Now distribute the exponent Now distribute the outer exponent 1%2F3 to each exponent in the parenthesis. Remember %28x%5Ey%29%5Ez=x%5E%28y%2Az%29

Now multiply the exponents

Reduce

Now convert back to radical notation



Take the cube root of 1000 to get 10

So simplifies to



In other words,