Answer:
x^2 y^12
Step-by-step explanation:
( x ^ 1/2 * y ^3 ) ^ 4
A power raised to a power has the exponents multiplied
a^b^c = a^ (b*c)
x^ 1/2 ^ 4 * y^3^4
x^(1/2*4) * y^(3*4)
[tex] x^2y^{12} [/tex]
[tex] (x^{\frac{1}{2}}y^3)^4 = [/tex]
[tex] = x^{\frac{1}{2} \times 4}y^{3 \times 4} [/tex]
[tex] = x^2y^{12} [/tex]
