Express using exponential notation sqrt (6xy)^3
To express the expression sqrt((6xy)^3) using exponential notation, we need to simplify the expression inside the square root first.
First, raise 6xy to the power of 3:
(6xy)^3 = 6^3 * (x^3) * (y^3) = 216x^3y^3
Next, take the square root of 216x^3y^3:
sqrt(216x^3y^3)
To express this using exponential notation, we can rewrite the square root as a fractional exponent:
(216x^3y^3)^1/2
Therefore, the expression sqrt((6xy)^3) expressed using exponential notation is (216x^3y^3)^1/2.