Simplify the 4th root of 192x^6y^9

Question

I need hepl simplifying this please

Answer 1

To simplify a fourth root, factor out all 4th powers because the 4th root of a positive quantity, A,  raised to the fourth power simplifies to A. Recall that the fourth root is equivalent to 1/4 power.     

 

(192x⁶y⁹)^1/4 = [(16)(12)x⁴x²y⁴y⁴y]^1/4

 

                  = 2xy²(12x²y)^1/4  (Assuming x, y > 0)