Question

How do you simplify `4\sqrt { \frac { x ^ { 12} y ^ { 24} } { 81} }`?

Answer 1

`(x^3*y^6)/3`

Explanation:

`root(4)((x^12y^24)/81) = ((x^12y^24)/3^4)^(1/4)`

`=(x^(12*1/4) * y^(24*1/4))/3^(4*1/4)=(x^3*y^6)/3`