Divide and simplify the following

Question

∛(27x^6 y^12 z^21 )/√(25x^6 y^12 z^18 )

Answer 1

Here's a hint: take the cube root of each term in the numerator: example - cube root of 27 is 3.  Then take the square root of each term in the denominator: example - square root of x^6 = x^3.  

 

Next, simplify: example - x^2/x^3 = 1/x.

Answer 2

(³√27x⁶y¹²z²¹)/√25x⁶y¹²z¹⁸ =

3x²y⁴z⁷/5x³y⁶z⁹ =

3/(5xy²z²)