Answer :

To solve the expression [tex]\(6.25 \times 10^4\)[/tex], follow these steps:

1. Understand the components of the expression:
- [tex]\(6.25\)[/tex] is the base number.
- [tex]\(10^4\)[/tex] means [tex]\(10\)[/tex] raised to the power of [tex]\(4\)[/tex], which is another way to say multiplying 10 by itself 3 more times (total 4 times).

2. Calculate [tex]\(10^4\)[/tex]:
- Multiply [tex]\(10\)[/tex] four times:
[tex]\[
10 \times 10 \times 10 \times 10 = 10,000
\][/tex]

3. Multiply [tex]\(6.25\)[/tex] by the result of [tex]\(10^4\)[/tex]:
- Now, take the base number [tex]\(6.25\)[/tex] and multiply it by [tex]\(10,000\)[/tex]:
[tex]\[
6.25 \times 10,000 = 62,500
\][/tex]

Thus, the result of the expression [tex]\(6.25 \times 10^4\)[/tex] is [tex]\(62,500\)[/tex].