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Simplify 3x^2y / sqrt(4x^4y^6)
Now sqrt(4x^4y^6) = sqrt(4)*sqrt(x^4)*sqrt(y^6)
= 2 (x^2) (y^3) [while finding the sqrt the exponent is halved.]
= 2(x^2)(y^3)
So 3x^2y / sqrt(4x^4y^6) = (3x^2y) / 2(x^2)(y^3)
= 3/(2y^2) [While dividing the exponents get subtracted]