How many times larger is 2 x 10^2 is 2 x 10^8?

You must calculate the quotient:

10^6  or 1,000,000    (1 million) times larger

Step-by-step explanation:

How many times larger means take the larger number and divide by the smaller number

2 * 10^8

2 * 10 ^2

When we divide powers of 10

We divide the numbers out front and subtract the power of 10

2/2 * 10^(8-2)

1 * 10^ 6

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents