Simplify. Express your answer using exponents. (2w^9 x^9)²

To simplify the expression ((2w^9 x^9)^2), we will apply the power of a product rule, which states that ((ab)^n = a^n b^n).

1. Square the coefficient and each variable term:

– The coefficient (2) squared is (2^2 = 4).

– (w^9) squared is (w^{9 times 2} = w^{18}).

– (x^9) squared is (x^{9 times 2} = x^{18}).

Putting it all together, we have:

[

(2w^9 x^9)^2 = 4w^{18} x^{18}

]

Therefore, the correct answer is A) 4w^18 x^18.