Question

Simplify (5x^2y^3)^2x(2x^3y^4)^3

Answer 1

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
$200x^{14}y^{18}$