(3x^4y^5)^2

Answer 1

To simplify the expression (3x^4y^5)^2, we can apply the power of a power property, which states that (a^m)^n = a^(m*n).

Using this property, we can rewrite the expression as:

(3x^4y^5)^2 = 3^2(x^4)^2(y^5)^2

Simplifying further,

= 9x^(4*2)y^(5*2)
= 9x^8y^10

Therefore, (3x^4y^5)^2 simplifies to 9x^8y^10.