Final answer:
Expressions A and B, 2(10²ˣ) and 2(10³ˣ) respectively, are equivalent to 200(10ˣ).
Step-by-step explanation:
To determine which expressions are equivalent to 200(10ˣ), we need to understand the rules of exponents. When multiplying exponential quantities with the same base, the exponents are added together. Using this rule, we can deduce that expressions A and B are equivalent to 200(10ˣ) since their exponents add up to the exponent in 200(10ˣ). Therefore, the correct options are A. 2(10²ˣ) and B. 2(10³ˣ).