Question

Choose the correct simplification of (9xy^5)^2.

A) 18x^2y^10
B) 18x^2y^7
C) 81x^2y^7
D) 81x^2y^10​

Answer 1

D) 81x²y¹⁰

Explanation:

(9xy⁵)²

Because all of 9xy⁵ are in the parentheses, each component is raised to the 2nd degree.

(9)² = 81

(x)² = x²

(y⁵)² = y¹⁰ -- When you raise an exponent to another exponent, you multiply the exponents.

Now combine the components.

D) 81x²y¹⁰