To solve the given problem [tex]\(0.00043 \times (6.5 \times 10^8)\)[/tex] and express the product in scientific notation, follow these steps:
1. Understand the Multiplication: We need to multiply [tex]\(0.00043\)[/tex] by [tex]\(6.5 \times 10^8\)[/tex].
2. Perform the Multiplication: When we multiply [tex]\(0.00043\)[/tex] and [tex]\(6.5 \times 10^8\)[/tex], we obtain:
[tex]\[
0.00043 \times 6.5 = 0.002795
\][/tex]
Next, include the magnitude [tex]\(10^8\)[/tex] to get:
[tex]\[
0.002795 \times 10^8 = 279500.0
\][/tex]
3. Convert to Scientific Notation: The number [tex]\(279500.0\)[/tex] can be written in scientific notation by moving the decimal point five places to the left, resulting in:
[tex]\[
2.795 \times 10^5
\][/tex]
Therefore, the product of [tex]\(0.00043 \times 6.5 \times 10^8\)[/tex] expressed in scientific notation is:
[tex]\[
2.795 \times 10^5
\][/tex]
Thus, the correct answer is:
[tex]\[
\boxed{2.795 \times 10^5}
\][/tex]
