Simplify.
(-3r^2w^4)^3(2rw)^2(-3r^2)^3(4rw^2)^3(2r^2w^3)^4
Apply the exponent power rule: (a^m)^n=a^(m*n)
Simplify (-3r^2w^4)^3 to (-3^3r^(2*3)w^(4*3)).
(-3^3r^(2*3)w^(4*3))(2rw)^2(-3r^2)^3(4rw^2)^3(2r^2w^3)^4
Simplify (2rw)^2 to (2^2r^2w^2).
(-3^3r^(2*3)w^(4*3))(2^2r^2w^2)(-3r^2)^3(4rw^2)^3(2r^2w^3)^4
Simplilfy (-3r^2)^3 to (-3^3r^(2*3)).
(-3^3r^(2*3)w^(4*3))(2^2r^2w^2)(-3^3r^(2*3))(4rw^2)^3(2r^2w^3)^4
Simplify (4rw^2)^3 to (4^3r^3w^(4*3)).
(-3^3r^(2*3)w^(4*3))(2^2r^2w^2)(-3^3r^(2*3))(4^3r^3w^(4*3))(2r^2w^3)^4
Simplify (2r^2w^3)^4 to (2^4w^(3*4)).
(-3^3r^(2*3)w^(4*3))(2^2r^2w^2)(-3^3r^(2*3))(4^3r^3w^(2*3))(2^4r^(2*4)w^(3*4))
Simplify.
(-27r^6w^12)(4r^2w^2)(-27r^6)(64r^3w^6)(16r^8w^12)
Take out the constants.
-27xx4xx-27xx64xx16(r^6w^12r^2w^2r^6r^3w^6r^8w^12)
Simplify -27xx4xx-27xx64xx16 to 2985984.
2985984(r^6w^12r^2w^2r^6r^3w^6r^8w^12)
Collect like variables.
2985984(r^6r^2r^6r^3r^8w^12w^2w^6w^12)
Apply exponent product rule: a^ma^n=a^(a+n)
2985984(r^(6+2+6+3+8)w^(12+2+6+12))
Simplify.
2985984r^25w^32
