WHAT IS THE SQUARE ROOT OF X TO THE TH POWER AND Y TO THE TH POWER?

The square root of ( x^n ) and ( y^m ) can be expressed as ( \sqrt{x^n} \cdot \sqrt{y^m} ), which simplifies to ( x^{n/2} \cdot y^{m/2} ). Therefore, the square root of ( x^n ) and ( y^m ) is ( x^{n/2} y^{m/2} ).