Question

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

Answer 1

[AI-generated answer — Bot GPT 3.5]

To simplify this expression, we can apply the power rule for exponents.

First, we simplify the expression inside the parentheses: (4xy^2)^3 = 4^3 * x^3 * (y^2)^3 = 64x^3y^6.

Next, we simplify the expression outside the parentheses: (xy)^5 = x^5 * y^5.

Multiplying these two expressions together, we have:

64x^3y^6 * x^5 * y^5 = 64x^8y^11.

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