simplify (4xy^2)^3(xy)^5

Answer 1

To simplify (4xy^2)^3(xy)^5, we can use the power of a power property.
(4xy^2)^3(xy)^5 can be written as (4^3 * x^3 * (y^2)^3) * (x^5 * y^5).
This simplifies to 64x^3y^6 * x^5y^5.
Now, we can simplify further by adding the exponents for like terms.
This results in 64x^(3+5)y^(6+5), which simplifies to 64x^8y^11.
Therefore, the simplified form of (4xy^2)^3(xy)^5 is 64x^8y^11.