Final answer:
The number 762508 in expanded form using exponents is represented as 7 × 10^5 + 6 × 10^4 + 2 × 10^3 + 5 × 10^2 + 8.
Step-by-step explanation:
To write the number 762508 in expanded form using exponents, we break it down into its place values and then use exponents to express each digit:
- 7 in the hundred thousands place is 7 × 10^5,
- 6 in the ten thousands place is 6 × 10^4,
- 2 in the thousands place is 2 × 10^3,
- 5 in the hundreds place is 5 × 10^2,
- 0 in the tens place is 0 × 10^1 (which is equal to 0 and typically omitted in expanded form),
- 8 in the ones place is 8 × 10^0 (since any number to the zero power is 1).
Putting it all together, we can express 762508 in expanded form with exponents as:
7 × 10^5 + 6 × 10^4 + 2 × 10^3 + 5 × 10^2 + 8