Verified Answer :

remember
\((abc)^x=(a^x)(b^x)(c^x)\)
and
\((x^m)(x^n)=x^{m+n}\)
and
\((x^m)^n=x^{mn}\)
so
I'm going to assume that that x after the 2 exponent is multiply and not a variable to be multiplied, if it is go to option 2
\((5x^2y^3)^2(2x^3y^4)^3\)=
\((5^2)((x^2)^2)((y^3)^2)(2^3)((x^3)^3)((y^4)^3)\)=
\((25)(x^4)(y^6)(8)(x^9)(y^{12})\)
\(200x^{13}y^{18}\)

2. if that x was a variable and nod a multiply then
\(200x^{14}y^{18}\)