Simplify (4xy2)3(xy)5%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0A64x8y11%0D%0A64 x 8 y 11%0D%0A%0D%0A64x15y30%0D%0A64 x 15 y 30%0D%0A%0D%0A12x2y11%0D%0A12 x 2 y 11%0D%0A%0D%0A12x8y11

Answer 1

To simplify (4xy^2)^3(xy)^5, we need to apply the exponent rules.

First, raise 4 to the power of 3: 4^3 = 64.
Next, raise x to the power of 3: x^3.
Then, raise y^2 to the power of 3: (y^2)^3 = y^6.
Now, raise xy to the power of 5: (xy)^5 = x^5y^5.

Finally, combining all the terms, we have: 64x^3y^6 * x^5y^5 = 64x^(3+5)y^(6+5) = 64x^8y^11.

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