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)`