Write six hundred billion,two hundred thousand, two in expanded firm using exponents

Please check
600, 000, 200, 002
(6×10^11)+(2×10^6)+(2×10^1)

so close, but all your exponent are off by 1

should be 6x10^10 + 2x10^5 + 2x10^0

You can see it best by looking at your last term
your last part should be 2x10^0 or just plain + 2
(yours would have a value of 20 not 2)

e.g. 200,000 = 2 x 100,000 = 2x10^5
10 = 10^1
100 = 10^2
1000=10^3 ----> the exponent matches the number of zeros.

To write six hundred billion, two hundred thousand, two in expanded form using exponents, follow these steps:

Step 1: Start by separating the number into its place values. The number is 600,000,200,002.

Step 2: Write each place value as a sum of its digits multiplied by powers of ten.

In this case, we have:
- The billions place: 600 billion = 6 x 10^11
- The thousands place: 200 thousand = 2 x 10^5
- The ones place: 2 = 2 x 10^0

Putting it all together, we get:

600 billion = 6 x 10^11
200 thousand = 2 x 10^5
2 = 2 x 10^0

So, the expanded form of six hundred billion, two hundred thousand, two using exponents is:

(6 x 10^11) + (2 x 10^5) + (2 x 10^0)