Question

Choose the correct simplification of (2xy^2)^2(y^2)^3.
Answer
2x^2y^9
2x^2y^10
4x^2y^10
4x^2y^9

Answer 1

So, we distribute the exponent in the first:
(2xy^2)^2 (y^2)^3.
2^2 * x^2 * (y^2)^2 * (y^2)^3

Then we bring the exponent in since (a^b)^c = a^(bc)
4*x^2 * y^4 * y^6

Then add the exponents since y^a * y^b = y^(a + b)
4x^2 y^10