Final answer:
2 to the power of 21 is two times more than 2 to the power of 20. The ratio is the base 2 raised to the exponent difference, which is 1, so 2 to the power of 1 equals 2.
Step-by-step explanation:
The question asks how many times more is 221 than 220. To answer this, we simply need to understand the basic principle of exponents that states when you have the same base being raised to different powers, the ratio between them is a power of the base. Specifically, if you have a base b raised to an exponent x and b raised to an exponent y, where x is one more than y (i.e., x = y + 1), then bx / by = b.
In this case, the base is 2 and we are comparing 221 to 220. Thus, we have:
221 / 220 = 2(21-20) = 21 = 2
Hence, 221 is two times more than 220, so the correct answer is (A) 2.