SOLUTION: No matter how hard i try to learn this lesson, I'm stumped. Please help. Multiply. 1.) ∛4 x ∛2000 Simplify. 2.)∛-243x^3y^10 Multiply and simplify.

Algebra ->  Rational-functions -> SOLUTION: No matter how hard i try to learn this lesson, I'm stumped. Please help. Multiply. 1.) ∛4 x ∛2000 Simplify. 2.)∛-243x^3y^10 Multiply and simplify.      Log On


   

Question 565050: No matter how hard i try to learn this lesson, I'm stumped. Please help.
Multiply.
1.) ∛4 x ∛2000

Simplify.
2.)∛-243x^3y^10

Multiply and simplify.
3.)√18x^3 x √2x^2y^3

Divide and simplify.
4.) ∛270x / ∛10xy^2

Rationalize the denominator of each expression.
5.) √7x / √3

6.) ∛x^2 / ∛4
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The general rules are :
+root%28+b%2C+a+%29+%2A+root%28+b%2C+c+%29+=+root%28+b%2C+a%2Ac+%29+
+root%28+b%2C+a+%29+%2F+root%28+b%2C+c+%29+=+root%28+b%2C+%28a%2Fc%29%29+
-----------------
+root%283%2C4%29+%2A+root%28+3%2C+2000+%29+=+root%28+3%2C+4%2A2000+%29+
++root%28+3%2C+4%2A2000+%29+=+root%28+3%2C+8000+%29+
++root%28+3%2C+8000+%29+=+root%28+3%2C+20%5E3+%29+
+root%28+3%2C+20%5E3+%29+=+20+
--------------------
+root%28+3%2C+-243%2Ax%5E3%2Ay%5E10+%29+
+root%28+3%2C+-243+%29+%2A+root%28+3%2C+x%5E3+%29+%2A+root%28+3%2C+y%5E9%2Ay+%29+
+root%28+3%2C+%28-27%29%2A9+%29+%2A+x+%2A+root%28+3%2C+y%5E9+%29+%2A+root%28+3%2C+y+%29+
+-3%2A+root%28+3%2C+9+%29+%2A+x+%2A+y%5E3++%2A+root%28+3%2C+y+%29+
+-3x+%2A+y%5E3+%2A+root%28+3%2C+9y+%29+
--------------------
+sqrt%28+18x%5E3+%29+%2A+sqrt%28+2x%5E2%2Ay%5E3+%29+
+sqrt%28+36x%5E5+%2A+y%5E3+%29+
+sqrt%2836%29+%2A+sqrt%28+x%5E5+%29+%2A+sqrt%28+y%5E3+%29+
+6+%2A+sqrt%28+x%5E4+%29+%2A+sqrt%28x%29+%2A+sqrt%28y%5E2%29+%2A+sqrt%28y%29+
+6x%5E2%2Ay%2A+sqrt%28x%29++%2A+sqrt%28y%29+
+6x%5E2+%2A+y+%2A+sqrt%28+x%2Ay+%29+
----------------------
This is all I have time for.
Hope you get the idea