To find out how many times 4 × 10^4 is larger than 2 × 10^2, we need to divide the two numbers.
(4 × 10^4) / (2 × 10^2)
To divide numbers in scientific notation, we divide the coefficients and subtract the exponents of the 10.
4 / 2 = 2
10^4 / 10^2 = 10^(4-2) = 10^2
Therefore, (4 × 10^4) / (2 × 10^2) = 2 × 10^2.
So, 4 × 10^4 is 2 × 10^2 times larger than 2 × 10^2.