Simplify (4xy2)3(xy)5

Answer 1

To simplify the expression (4xy^2)^3(xy)^5, we can apply the exponent rules:

(4xy^2)^3(xy)^5 = (4^3 * x^3 * (y^2)^3) * (x^5 * y^5)
= (64 * x^3 * y^6) * (x^5 * y^5)
= 64x^3 * x^5 * y^6 * y^5
= 64x^(3+5) * y^(6+5)
= 64x^8 * y^11

Therefore, the simplified expression is 64x^8y^11.