To write the number \(0.00000647\) in scientific notation, we need to express it as a number between 1 and 10 multiplied by a power of 10.
- Move the decimal point to the right until we have a number between 1 and 10: \(6.47\).
- Count how many places we moved the decimal point. In this case, we moved it 6 places to the right.
- Therefore, we will multiply by \(10^{-6}\) to account for the movement of the decimal point.
So, the number \(0.00000647\) in scientific notation is:
\[ 6.47 \times 10^{-6} \]