Final answer:
The expression (3²) x (3²)⁴ is simplified by applying the law of exponents which results in 3¹⁰, matching option A.
Step-by-step explanation:
To simplify the expression (3²) x (3²)⁴ using the law of exponents, we need to apply the rule of multiplying exponents when the bases are the same. The law states that when you multiply powers with the same base, you add the exponents.
So the expression can be rewritten as 3² x 3⁸ (since 2⁴ is 2 multiplied by itself 4 times, which equals 8). Then, adding exponents we get 3²+8, simplifying further to 3¹⁰, which is 3 to the power of 10. Therefore, the correct simplified form of the expression is 3¹⁰, which corresponds to option A. 3¹⁰.