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

(x2y3)3(y4)2
Apply the product rule to x2y3.
(x2)3(y3)3(y4)2
Multiply the exponents in (x2)3.
Apply the power rule and multiply exponents, (am)n=amn.
x2⋅3(y3)3(y4)2
Multiply 2 by 3.
x6(y3)3(y4)2
x6(y3)3(y4)2
Multiply the exponents in (y3)3.
Apply the power rule and multiply exponents, (am)n=amn.
x6y3⋅3(y4)2
Multiply 3 by 3.
x6y9(y4)2
x6y9(y4)2
Multiply the exponents in (y4)2.
Apply the power rule and multiply exponents, (am)n=amn.
x6y9y4⋅2
Multiply 4 by 2.
x6y9y8
x6y9y8
Multiply y9 by y8 by adding the exponents.
Move y8.
x6(y8y9)
Use the power rule aman=am+n to combine exponents.
x6y8+9