Final answer:
The question involves simplifying powers with the same base, where you add the exponents. The expression 4^2 times 4^8 simplifies to 4^{10}. However, due to a possible typo in the question or answer choices, it's unclear which answer choice corresponds to the simplification.
Step-by-step explanation:
The question appears to be about simplifying an expression with exponents, although the format of the expression seems to be a typo. Assuming the correct expression is meant to involve powers of 4 (like 4 to the power of 2 multiplied by 4 to the power of 8), let's clarify how to simplify it properly using exponent rules. To multiply two exponents with the same base, you simply add the exponents together.
Let's take 4^2 × 4^8. Using the rule mentioned, this simplifies to 4^{2+8}, which equals 4^{10}. Therefore, if the answers are expected to be in the form of 4 to a power, the answer would be 4^{10}, but this option is not available in the choices provided. It seems that there could be an error in the question or the answer choices. Without further clarification, providing an accurate answer to the possible typos is challenging.