How many times is 4 × 10 rasied to the power of 4 larger than 2 × 10 rasied to the power of 2?(1 point) Responses 2,000 2,000 2 2 200 200 20 20

Question

GPT-4o mini · Answer

To find out how many times $ 4 \times 10^4 $ is larger than $ 2 \times 10^2 $, we can calculate the two expressions and then divide them to see how many times one is larger than the other. 1. Calculate $ 4 \times 10^4 $: $$ 4 \times 10^4 = 4 \times 10,000 = 40,000 $$ 2. Calculate $ 2 \times 10^2 $: $$ 2 \times 10^2 = 2 \times 100 = 200 $$ 3. Now, divide the first result by the second: $$ \frac{40,000}{200} = 200 $$ Thus, $ 4 \times 10^4 $ is 200 times larger than $ 2 \times 10^2 $. The answer is **200**.