Answer:
See below.
Step-by-step explanation:
First convert the radical to a fractional exponent.
Examples of this: √ x = x^1/2.
(∛y)^4 = y ^4/3 - note that the exponent's numerator is the power(4 in this case) and the radical is the denominator).
(9x⁴√y)^3/2
= 9^3/2 * x^3/2 * y(1/4*3/2)
= 3^3 x^3/2 y^3/8
= 27x^3/2y^3/8
= 27 x^12/8 y^3/8
= 27x^8/8 x^4/8 y^3/8
= 27x ⁸√ (x^4 y^3)